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Finding the Fourth Proportional to 75.77, 112.89 and 71.12

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Solution

The fourth proportional to 75.77, 112.89 and 71.12 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 112.89 = 71.12 : x
  2. Step 2: Convert to fraction form
    75.77/112.89 = 71.12/x
  3. Step 3: Cross multiply
    75.77x = 112.89 × 71.12
  4. Step 4: Simplify right side
    75.77x = 8,028.17
  5. Step 5: Solve for x
    x = 8,028.17/75.77
  6. Step 6: Final answer
    x = 105.96

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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.