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Finding the Fourth Proportional to 132.16, 182.58 and 125.32

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Solution

The fourth proportional to 132.16, 182.58 and 125.32 is: 173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 182.58 = 125.32 : x
  2. Step 2: Convert to fraction form
    132.16/182.58 = 125.32/x
  3. Step 3: Cross multiply
    132.16x = 182.58 × 125.32
  4. Step 4: Simplify right side
    132.16x = 22,880.93
  5. Step 5: Solve for x
    x = 22,880.93/132.16
  6. Step 6: Final answer
    x = 173.13

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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.