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Finding the Fourth Proportional to 105.19, 157.80 and 32.06

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Solution

The fourth proportional to 105.19, 157.80 and 32.06 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.19 : 157.80 = 32.06 : x
  2. Step 2: Convert to fraction form
    105.19/157.80 = 32.06/x
  3. Step 3: Cross multiply
    105.19x = 157.80 × 32.06
  4. Step 4: Simplify right side
    105.19x = 5,059.07
  5. Step 5: Solve for x
    x = 5,059.07/105.19
  6. Step 6: Final answer
    x = 48.09

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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.