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Finding the Fourth Proportional to 132.59, 182.86 and 91.08

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Solution

The fourth proportional to 132.59, 182.86 and 91.08 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 182.86 = 91.08 : x
  2. Step 2: Convert to fraction form
    132.59/182.86 = 91.08/x
  3. Step 3: Cross multiply
    132.59x = 182.86 × 91.08
  4. Step 4: Simplify right side
    132.59x = 16,654.66
  5. Step 5: Solve for x
    x = 16,654.66/132.59
  6. Step 6: Final answer
    x = 125.61

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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.