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Finding the Fourth Proportional to 69.32, 103.41 and 64.80

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Solution

The fourth proportional to 69.32, 103.41 and 64.80 is: 96.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.32 : 103.41 = 64.80 : x
  2. Step 2: Convert to fraction form
    69.32/103.41 = 64.80/x
  3. Step 3: Cross multiply
    69.32x = 103.41 × 64.80
  4. Step 4: Simplify right side
    69.32x = 6,700.97
  5. Step 5: Solve for x
    x = 6,700.97/69.32
  6. Step 6: Final answer
    x = 96.66

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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.