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Finding the Fourth Proportional to 132.57, 182.96 and 74.36

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Solution

The fourth proportional to 132.57, 182.96 and 74.36 is: 102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 182.96 = 74.36 : x
  2. Step 2: Convert to fraction form
    132.57/182.96 = 74.36/x
  3. Step 3: Cross multiply
    132.57x = 182.96 × 74.36
  4. Step 4: Simplify right side
    132.57x = 13,603.62
  5. Step 5: Solve for x
    x = 13,603.62/132.57
  6. Step 6: Final answer
    x = 102.61

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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.