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Finding the Fourth Proportional to 129.49, 178.68 and 74.23

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Solution

The fourth proportional to 129.49, 178.68 and 74.23 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.49 : 178.68 = 74.23 : x
  2. Step 2: Convert to fraction form
    129.49/178.68 = 74.23/x
  3. Step 3: Cross multiply
    129.49x = 178.68 × 74.23
  4. Step 4: Simplify right side
    129.49x = 13,262.71
  5. Step 5: Solve for x
    x = 13,262.71/129.49
  6. Step 6: Final answer
    x = 102.42

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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.