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Finding the Fourth Proportional to 129.94, 178.92 and 97.15

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Solution

The fourth proportional to 129.94, 178.92 and 97.15 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.94 : 178.92 = 97.15 : x
  2. Step 2: Convert to fraction form
    129.94/178.92 = 97.15/x
  3. Step 3: Cross multiply
    129.94x = 178.92 × 97.15
  4. Step 4: Simplify right side
    129.94x = 17,382.08
  5. Step 5: Solve for x
    x = 17,382.08/129.94
  6. Step 6: Final answer
    x = 133.77

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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.