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Finding the Fourth Proportional to 132.24, 182.35 and 101.16

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Solution

The fourth proportional to 132.24, 182.35 and 101.16 is: 139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.24 : 182.35 = 101.16 : x
  2. Step 2: Convert to fraction form
    132.24/182.35 = 101.16/x
  3. Step 3: Cross multiply
    132.24x = 182.35 × 101.16
  4. Step 4: Simplify right side
    132.24x = 18,446.53
  5. Step 5: Solve for x
    x = 18,446.53/132.24
  6. Step 6: Final answer
    x = 139.49

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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.