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Finding the Fourth Proportional to 129.71, 178.89 and 106.35

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Solution

The fourth proportional to 129.71, 178.89 and 106.35 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.71 : 178.89 = 106.35 : x
  2. Step 2: Convert to fraction form
    129.71/178.89 = 106.35/x
  3. Step 3: Cross multiply
    129.71x = 178.89 × 106.35
  4. Step 4: Simplify right side
    129.71x = 19,024.95
  5. Step 5: Solve for x
    x = 19,024.95/129.71
  6. Step 6: Final answer
    x = 146.68

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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.