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Finding the Fourth Proportional to 129.08, 178.01 and 91.66

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Solution

The fourth proportional to 129.08, 178.01 and 91.66 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.08 : 178.01 = 91.66 : x
  2. Step 2: Convert to fraction form
    129.08/178.01 = 91.66/x
  3. Step 3: Cross multiply
    129.08x = 178.01 × 91.66
  4. Step 4: Simplify right side
    129.08x = 16,316.96
  5. Step 5: Solve for x
    x = 16,316.96/129.08
  6. Step 6: Final answer
    x = 126.41

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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.