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Finding the Fourth Proportional to 88.42, 131.87 and 75.66

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Solution

The fourth proportional to 88.42, 131.87 and 75.66 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.42 : 131.87 = 75.66 : x
  2. Step 2: Convert to fraction form
    88.42/131.87 = 75.66/x
  3. Step 3: Cross multiply
    88.42x = 131.87 × 75.66
  4. Step 4: Simplify right side
    88.42x = 9,977.28
  5. Step 5: Solve for x
    x = 9,977.28/88.42
  6. Step 6: Final answer
    x = 112.84

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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.