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Finding the Fourth Proportional to 69.73, 96.29 and 69.02

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Solution

The fourth proportional to 69.73, 96.29 and 69.02 is: 95.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.73 : 96.29 = 69.02 : x
  2. Step 2: Convert to fraction form
    69.73/96.29 = 69.02/x
  3. Step 3: Cross multiply
    69.73x = 96.29 × 69.02
  4. Step 4: Simplify right side
    69.73x = 6,645.73
  5. Step 5: Solve for x
    x = 6,645.73/69.73
  6. Step 6: Final answer
    x = 95.31

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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.