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Finding the Fourth Proportional to 152.71, 229.11 and 74.68

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Solution

The fourth proportional to 152.71, 229.11 and 74.68 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 229.11 = 74.68 : x
  2. Step 2: Convert to fraction form
    152.71/229.11 = 74.68/x
  3. Step 3: Cross multiply
    152.71x = 229.11 × 74.68
  4. Step 4: Simplify right side
    152.71x = 17,109.93
  5. Step 5: Solve for x
    x = 17,109.93/152.71
  6. Step 6: Final answer
    x = 112.04

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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.