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Finding the Fourth Proportional to 96.84, 145.23 and 32.71

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Solution

The fourth proportional to 96.84, 145.23 and 32.71 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.84 : 145.23 = 32.71 : x
  2. Step 2: Convert to fraction form
    96.84/145.23 = 32.71/x
  3. Step 3: Cross multiply
    96.84x = 145.23 × 32.71
  4. Step 4: Simplify right side
    96.84x = 4,750.47
  5. Step 5: Solve for x
    x = 4,750.47/96.84
  6. Step 6: Final answer
    x = 49.05

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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.