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Finding the Fourth Proportional to 106.47, 159.50 and 60.69

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Solution

The fourth proportional to 106.47, 159.50 and 60.69 is: 90.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.47 : 159.50 = 60.69 : x
  2. Step 2: Convert to fraction form
    106.47/159.50 = 60.69/x
  3. Step 3: Cross multiply
    106.47x = 159.50 × 60.69
  4. Step 4: Simplify right side
    106.47x = 9,679.75
  5. Step 5: Solve for x
    x = 9,679.75/106.47
  6. Step 6: Final answer
    x = 90.91

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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.