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Finding the Fourth Proportional to 95.86, 132.29 and 52.20

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Solution

The fourth proportional to 95.86, 132.29 and 52.20 is: 72.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.86 : 132.29 = 52.20 : x
  2. Step 2: Convert to fraction form
    95.86/132.29 = 52.20/x
  3. Step 3: Cross multiply
    95.86x = 132.29 × 52.20
  4. Step 4: Simplify right side
    95.86x = 6,905.31
  5. Step 5: Solve for x
    x = 6,905.31/95.86
  6. Step 6: Final answer
    x = 72.04

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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.