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Finding the Fourth Proportional to 75.26, 113.34 and 63.89

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Solution

The fourth proportional to 75.26, 113.34 and 63.89 is: 96.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 113.34 = 63.89 : x
  2. Step 2: Convert to fraction form
    75.26/113.34 = 63.89/x
  3. Step 3: Cross multiply
    75.26x = 113.34 × 63.89
  4. Step 4: Simplify right side
    75.26x = 7,240.97
  5. Step 5: Solve for x
    x = 7,240.97/75.26
  6. Step 6: Final answer
    x = 96.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.