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Finding the Fourth Proportional to 77.71, 106.80 and 75.55

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Solution

The fourth proportional to 77.71, 106.80 and 75.55 is: 103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.71 : 106.80 = 75.55 : x
  2. Step 2: Convert to fraction form
    77.71/106.80 = 75.55/x
  3. Step 3: Cross multiply
    77.71x = 106.80 × 75.55
  4. Step 4: Simplify right side
    77.71x = 8,068.74
  5. Step 5: Solve for x
    x = 8,068.74/77.71
  6. Step 6: Final answer
    x = 103.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.