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Finding the Fourth Proportional to 97.63, 134.49 and 75.76

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Solution

The fourth proportional to 97.63, 134.49 and 75.76 is: 104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.63 : 134.49 = 75.76 : x
  2. Step 2: Convert to fraction form
    97.63/134.49 = 75.76/x
  3. Step 3: Cross multiply
    97.63x = 134.49 × 75.76
  4. Step 4: Simplify right side
    97.63x = 10,188.96
  5. Step 5: Solve for x
    x = 10,188.96/97.63
  6. Step 6: Final answer
    x = 104.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.