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Finding the Fourth Proportional to 106.91, 159.44 and 99.62

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Solution

The fourth proportional to 106.91, 159.44 and 99.62 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.91 : 159.44 = 99.62 : x
  2. Step 2: Convert to fraction form
    106.91/159.44 = 99.62/x
  3. Step 3: Cross multiply
    106.91x = 159.44 × 99.62
  4. Step 4: Simplify right side
    106.91x = 15,883.41
  5. Step 5: Solve for x
    x = 15,883.41/106.91
  6. Step 6: Final answer
    x = 148.57

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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.