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Finding the Fourth Proportional to 96.75, 145.15 and 31.76

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Solution

The fourth proportional to 96.75, 145.15 and 31.76 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 145.15 = 31.76 : x
  2. Step 2: Convert to fraction form
    96.75/145.15 = 31.76/x
  3. Step 3: Cross multiply
    96.75x = 145.15 × 31.76
  4. Step 4: Simplify right side
    96.75x = 4,609.24
  5. Step 5: Solve for x
    x = 4,609.24/96.75
  6. Step 6: Final answer
    x = 47.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.