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Finding the Fourth Proportional to 96.31, 133.02 and 73.00

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Solution

The fourth proportional to 96.31, 133.02 and 73.00 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.31 : 133.02 = 73.00 : x
  2. Step 2: Convert to fraction form
    96.31/133.02 = 73.00/x
  3. Step 3: Cross multiply
    96.31x = 133.02 × 73.00
  4. Step 4: Simplify right side
    96.31x = 9,710.42
  5. Step 5: Solve for x
    x = 9,710.42/96.31
  6. Step 6: Final answer
    x = 100.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.