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Finding the Fourth Proportional to 117.71, 175.80 and 106.71

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Solution

The fourth proportional to 117.71, 175.80 and 106.71 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.71 : 175.80 = 106.71 : x
  2. Step 2: Convert to fraction form
    117.71/175.80 = 106.71/x
  3. Step 3: Cross multiply
    117.71x = 175.80 × 106.71
  4. Step 4: Simplify right side
    117.71x = 18,759.62
  5. Step 5: Solve for x
    x = 18,759.62/117.71
  6. Step 6: Final answer
    x = 159.38

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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.