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Finding the Fourth Proportional to 75.49, 112.79 and 66.71

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Solution

The fourth proportional to 75.49, 112.79 and 66.71 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.49 : 112.79 = 66.71 : x
  2. Step 2: Convert to fraction form
    75.49/112.79 = 66.71/x
  3. Step 3: Cross multiply
    75.49x = 112.79 × 66.71
  4. Step 4: Simplify right side
    75.49x = 7,524.17
  5. Step 5: Solve for x
    x = 7,524.17/75.49
  6. Step 6: Final answer
    x = 99.67

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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.