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Finding the Fourth Proportional to 129.16, 178.11 and 97.98

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Solution

The fourth proportional to 129.16, 178.11 and 97.98 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.16 : 178.11 = 97.98 : x
  2. Step 2: Convert to fraction form
    129.16/178.11 = 97.98/x
  3. Step 3: Cross multiply
    129.16x = 178.11 × 97.98
  4. Step 4: Simplify right side
    129.16x = 17,451.22
  5. Step 5: Solve for x
    x = 17,451.22/129.16
  6. Step 6: Final answer
    x = 135.11

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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.