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Finding the Fourth Proportional to 100.80, 137.25 and 100.26

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Solution

The fourth proportional to 100.80, 137.25 and 100.26 is: 136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.80 : 137.25 = 100.26 : x
  2. Step 2: Convert to fraction form
    100.80/137.25 = 100.26/x
  3. Step 3: Cross multiply
    100.80x = 137.25 × 100.26
  4. Step 4: Simplify right side
    100.80x = 13,760.69
  5. Step 5: Solve for x
    x = 13,760.69/100.80
  6. Step 6: Final answer
    x = 136.51

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