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Finding the Fourth Proportional to 119.48, 179.10 and 55.24

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Solution

The fourth proportional to 119.48, 179.10 and 55.24 is: 82.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.48 : 179.10 = 55.24 : x
  2. Step 2: Convert to fraction form
    119.48/179.10 = 55.24/x
  3. Step 3: Cross multiply
    119.48x = 179.10 × 55.24
  4. Step 4: Simplify right side
    119.48x = 9,893.48
  5. Step 5: Solve for x
    x = 9,893.48/119.48
  6. Step 6: Final answer
    x = 82.80

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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.