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Finding the Fourth Proportional to 101.10, 151.02 and 91.99

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Solution

The fourth proportional to 101.10, 151.02 and 91.99 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 151.02 = 91.99 : x
  2. Step 2: Convert to fraction form
    101.10/151.02 = 91.99/x
  3. Step 3: Cross multiply
    101.10x = 151.02 × 91.99
  4. Step 4: Simplify right side
    101.10x = 13,892.33
  5. Step 5: Solve for x
    x = 13,892.33/101.10
  6. Step 6: Final answer
    x = 137.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.