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Finding the Fourth Proportional to 67.24, 99.96 and 65.12

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Solution

The fourth proportional to 67.24, 99.96 and 65.12 is: 96.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.24 : 99.96 = 65.12 : x
  2. Step 2: Convert to fraction form
    67.24/99.96 = 65.12/x
  3. Step 3: Cross multiply
    67.24x = 99.96 × 65.12
  4. Step 4: Simplify right side
    67.24x = 6,509.40
  5. Step 5: Solve for x
    x = 6,509.40/67.24
  6. Step 6: Final answer
    x = 96.81

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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.