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Finding the Fourth Proportional to 132.83, 182.91 and 91.32

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Solution

The fourth proportional to 132.83, 182.91 and 91.32 is: 125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.83 : 182.91 = 91.32 : x
  2. Step 2: Convert to fraction form
    132.83/182.91 = 91.32/x
  3. Step 3: Cross multiply
    132.83x = 182.91 × 91.32
  4. Step 4: Simplify right side
    132.83x = 16,703.34
  5. Step 5: Solve for x
    x = 16,703.34/132.83
  6. Step 6: Final answer
    x = 125.75

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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.