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Finding the Fourth Proportional to 97.96, 145.95 and 91.75

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Solution

The fourth proportional to 97.96, 145.95 and 91.75 is: 136.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.96 : 145.95 = 91.75 : x
  2. Step 2: Convert to fraction form
    97.96/145.95 = 91.75/x
  3. Step 3: Cross multiply
    97.96x = 145.95 × 91.75
  4. Step 4: Simplify right side
    97.96x = 13,390.91
  5. Step 5: Solve for x
    x = 13,390.91/97.96
  6. Step 6: Final answer
    x = 136.70

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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.