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Finding the Fourth Proportional to 109.71, 151.42 and 62.46

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Solution

The fourth proportional to 109.71, 151.42 and 62.46 is: 86.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.71 : 151.42 = 62.46 : x
  2. Step 2: Convert to fraction form
    109.71/151.42 = 62.46/x
  3. Step 3: Cross multiply
    109.71x = 151.42 × 62.46
  4. Step 4: Simplify right side
    109.71x = 9,457.24
  5. Step 5: Solve for x
    x = 9,457.24/109.71
  6. Step 6: Final answer
    x = 86.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.