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Finding the Fourth Proportional to 75.69, 112.88 and 71.55

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Solution

The fourth proportional to 75.69, 112.88 and 71.55 is: 106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.69 : 112.88 = 71.55 : x
  2. Step 2: Convert to fraction form
    75.69/112.88 = 71.55/x
  3. Step 3: Cross multiply
    75.69x = 112.88 × 71.55
  4. Step 4: Simplify right side
    75.69x = 8,076.74
  5. Step 5: Solve for x
    x = 8,076.74/75.69
  6. Step 6: Final answer
    x = 106.71

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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.