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Finding the Fourth Proportional to 105.95, 159.16 and 75.71

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Solution

The fourth proportional to 105.95, 159.16 and 75.71 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.95 : 159.16 = 75.71 : x
  2. Step 2: Convert to fraction form
    105.95/159.16 = 75.71/x
  3. Step 3: Cross multiply
    105.95x = 159.16 × 75.71
  4. Step 4: Simplify right side
    105.95x = 12,050.21
  5. Step 5: Solve for x
    x = 12,050.21/105.95
  6. Step 6: Final answer
    x = 113.73

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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.