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Finding the Fourth Proportional to 69.48, 96 and 65.88

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Solution

The fourth proportional to 69.48, 96 and 65.88 is: 91.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.48 : 96 = 65.88 : x
  2. Step 2: Convert to fraction form
    69.48/96 = 65.88/x
  3. Step 3: Cross multiply
    69.48x = 96 × 65.88
  4. Step 4: Simplify right side
    69.48x = 6,324.48
  5. Step 5: Solve for x
    x = 6,324.48/69.48
  6. Step 6: Final answer
    x = 91.03

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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.