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Finding the Fourth Proportional to 100.05, 137.54 and 90.15

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Solution

The fourth proportional to 100.05, 137.54 and 90.15 is: 123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.05 : 137.54 = 90.15 : x
  2. Step 2: Convert to fraction form
    100.05/137.54 = 90.15/x
  3. Step 3: Cross multiply
    100.05x = 137.54 × 90.15
  4. Step 4: Simplify right side
    100.05x = 12,398.78
  5. Step 5: Solve for x
    x = 12,398.78/100.05
  6. Step 6: Final answer
    x = 123.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.