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Finding the Fourth Proportional to 129.36, 178.52 and 71.14

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Solution

The fourth proportional to 129.36, 178.52 and 71.14 is: 98.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 178.52 = 71.14 : x
  2. Step 2: Convert to fraction form
    129.36/178.52 = 71.14/x
  3. Step 3: Cross multiply
    129.36x = 178.52 × 71.14
  4. Step 4: Simplify right side
    129.36x = 12,699.91
  5. Step 5: Solve for x
    x = 12,699.91/129.36
  6. Step 6: Final answer
    x = 98.17

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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.