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Finding the Fourth Proportional to 132.24, 182.49 and 74.02

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Solution

The fourth proportional to 132.24, 182.49 and 74.02 is: 102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.24 : 182.49 = 74.02 : x
  2. Step 2: Convert to fraction form
    132.24/182.49 = 74.02/x
  3. Step 3: Cross multiply
    132.24x = 182.49 × 74.02
  4. Step 4: Simplify right side
    132.24x = 13,507.91
  5. Step 5: Solve for x
    x = 13,507.91/132.24
  6. Step 6: Final answer
    x = 102.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.