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Finding the Fourth Proportional to 95.80, 132.20 and 52.14

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Solution

The fourth proportional to 95.80, 132.20 and 52.14 is: 71.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.80 : 132.20 = 52.14 : x
  2. Step 2: Convert to fraction form
    95.80/132.20 = 52.14/x
  3. Step 3: Cross multiply
    95.80x = 132.20 × 52.14
  4. Step 4: Simplify right side
    95.80x = 6,892.25
  5. Step 5: Solve for x
    x = 6,892.25/95.80
  6. Step 6: Final answer
    x = 71.94

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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.