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Finding the Fourth Proportional to 132.22, 182.47 and 74

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Solution

The fourth proportional to 132.22, 182.47 and 74 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.22 : 182.47 = 74 : x
  2. Step 2: Convert to fraction form
    132.22/182.47 = 74/x
  3. Step 3: Cross multiply
    132.22x = 182.47 × 74
  4. Step 4: Simplify right side
    132.22x = 13,502.78
  5. Step 5: Solve for x
    x = 13,502.78/132.22
  6. Step 6: Final answer
    x = 102.12

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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.