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Finding the Fourth Proportional to 101.98, 138.96 and 99.76

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Solution

The fourth proportional to 101.98, 138.96 and 99.76 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.98 : 138.96 = 99.76 : x
  2. Step 2: Convert to fraction form
    101.98/138.96 = 99.76/x
  3. Step 3: Cross multiply
    101.98x = 138.96 × 99.76
  4. Step 4: Simplify right side
    101.98x = 13,862.65
  5. Step 5: Solve for x
    x = 13,862.65/101.98
  6. Step 6: Final answer
    x = 135.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.