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Finding the Fourth Proportional to 69.12, 103.24 and 61.48

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Solution

The fourth proportional to 69.12, 103.24 and 61.48 is: 91.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.12 : 103.24 = 61.48 : x
  2. Step 2: Convert to fraction form
    69.12/103.24 = 61.48/x
  3. Step 3: Cross multiply
    69.12x = 103.24 × 61.48
  4. Step 4: Simplify right side
    69.12x = 6,347.20
  5. Step 5: Solve for x
    x = 6,347.20/69.12
  6. Step 6: Final answer
    x = 91.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.