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Finding the Fourth Proportional to 129.57, 178.91 and 106.53

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Solution

The fourth proportional to 129.57, 178.91 and 106.53 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.57 : 178.91 = 106.53 : x
  2. Step 2: Convert to fraction form
    129.57/178.91 = 106.53/x
  3. Step 3: Cross multiply
    129.57x = 178.91 × 106.53
  4. Step 4: Simplify right side
    129.57x = 19,058.75
  5. Step 5: Solve for x
    x = 19,058.75/129.57
  6. Step 6: Final answer
    x = 147.09

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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.