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Finding the Fourth Proportional to 113.53, 169.87 and 62.22

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Solution

The fourth proportional to 113.53, 169.87 and 62.22 is: 93.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.53 : 169.87 = 62.22 : x
  2. Step 2: Convert to fraction form
    113.53/169.87 = 62.22/x
  3. Step 3: Cross multiply
    113.53x = 169.87 × 62.22
  4. Step 4: Simplify right side
    113.53x = 10,569.13
  5. Step 5: Solve for x
    x = 10,569.13/113.53
  6. Step 6: Final answer
    x = 93.10

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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.