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Finding the Fourth Proportional to 129.92, 177.85 and 129.64

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Solution

The fourth proportional to 129.92, 177.85 and 129.64 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.92 : 177.85 = 129.64 : x
  2. Step 2: Convert to fraction form
    129.92/177.85 = 129.64/x
  3. Step 3: Cross multiply
    129.92x = 177.85 × 129.64
  4. Step 4: Simplify right side
    129.92x = 23,056.47
  5. Step 5: Solve for x
    x = 23,056.47/129.92
  6. Step 6: Final answer
    x = 177.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.