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Finding the Fourth Proportional to 101.96, 151.90 and 95.75

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Solution

The fourth proportional to 101.96, 151.90 and 95.75 is: 142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.96 : 151.90 = 95.75 : x
  2. Step 2: Convert to fraction form
    101.96/151.90 = 95.75/x
  3. Step 3: Cross multiply
    101.96x = 151.90 × 95.75
  4. Step 4: Simplify right side
    101.96x = 14,544.43
  5. Step 5: Solve for x
    x = 14,544.43/101.96
  6. Step 6: Final answer
    x = 142.65

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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.