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Finding the Fourth Proportional to 129.26, 178.17 and 102.98

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Solution

The fourth proportional to 129.26, 178.17 and 102.98 is: 141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.26 : 178.17 = 102.98 : x
  2. Step 2: Convert to fraction form
    129.26/178.17 = 102.98/x
  3. Step 3: Cross multiply
    129.26x = 178.17 × 102.98
  4. Step 4: Simplify right side
    129.26x = 18,347.95
  5. Step 5: Solve for x
    x = 18,347.95/129.26
  6. Step 6: Final answer
    x = 141.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.