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Finding the Fourth Proportional to 130.75, 180.47 and 81.66

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Solution

The fourth proportional to 130.75, 180.47 and 81.66 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.75 : 180.47 = 81.66 : x
  2. Step 2: Convert to fraction form
    130.75/180.47 = 81.66/x
  3. Step 3: Cross multiply
    130.75x = 180.47 × 81.66
  4. Step 4: Simplify right side
    130.75x = 14,737.18
  5. Step 5: Solve for x
    x = 14,737.18/130.75
  6. Step 6: Final answer
    x = 112.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.