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Finding the Fourth Proportional to 69.97, 105.06 and 42.97

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Solution

The fourth proportional to 69.97, 105.06 and 42.97 is: 64.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.97 : 105.06 = 42.97 : x
  2. Step 2: Convert to fraction form
    69.97/105.06 = 42.97/x
  3. Step 3: Cross multiply
    69.97x = 105.06 × 42.97
  4. Step 4: Simplify right side
    69.97x = 4,514.43
  5. Step 5: Solve for x
    x = 4,514.43/69.97
  6. Step 6: Final answer
    x = 64.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.