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Finding the Fourth Proportional to 69.48, 96 and 61.20

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Solution

The fourth proportional to 69.48, 96 and 61.20 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.48 : 96 = 61.20 : x
  2. Step 2: Convert to fraction form
    69.48/96 = 61.20/x
  3. Step 3: Cross multiply
    69.48x = 96 × 61.20
  4. Step 4: Simplify right side
    69.48x = 5,875.20
  5. Step 5: Solve for x
    x = 5,875.20/69.48
  6. Step 6: Final answer
    x = 84.56

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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.