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Finding the Fourth Proportional to 101.20, 137.88 and 101.20

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Solution

The fourth proportional to 101.20, 137.88 and 101.20 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.20 : 137.88 = 101.20 : x
  2. Step 2: Convert to fraction form
    101.20/137.88 = 101.20/x
  3. Step 3: Cross multiply
    101.20x = 137.88 × 101.20
  4. Step 4: Simplify right side
    101.20x = 13,952.95
  5. Step 5: Solve for x
    x = 13,952.95/101.20
  6. Step 6: Final answer
    x = 137.88

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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.