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Finding the Fourth Proportional to 106.50, 159.01 and 105.74

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Solution

The fourth proportional to 106.50, 159.01 and 105.74 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 159.01 = 105.74 : x
  2. Step 2: Convert to fraction form
    106.50/159.01 = 105.74/x
  3. Step 3: Cross multiply
    106.50x = 159.01 × 105.74
  4. Step 4: Simplify right side
    106.50x = 16,813.72
  5. Step 5: Solve for x
    x = 16,813.72/106.50
  6. Step 6: Final answer
    x = 157.88

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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.