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Finding the Fourth Proportional to 119.48, 179.15 and 105.06

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Solution

The fourth proportional to 119.48, 179.15 and 105.06 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.48 : 179.15 = 105.06 : x
  2. Step 2: Convert to fraction form
    119.48/179.15 = 105.06/x
  3. Step 3: Cross multiply
    119.48x = 179.15 × 105.06
  4. Step 4: Simplify right side
    119.48x = 18,822.09
  5. Step 5: Solve for x
    x = 18,822.09/119.48
  6. Step 6: Final answer
    x = 157.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.