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Finding the Fourth Proportional to 129.14, 178.27 and 98.13

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Solution

The fourth proportional to 129.14, 178.27 and 98.13 is: 135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.14 : 178.27 = 98.13 : x
  2. Step 2: Convert to fraction form
    129.14/178.27 = 98.13/x
  3. Step 3: Cross multiply
    129.14x = 178.27 × 98.13
  4. Step 4: Simplify right side
    129.14x = 17,494.06
  5. Step 5: Solve for x
    x = 17,494.06/129.14
  6. Step 6: Final answer
    x = 135.47

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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.