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Finding the Fourth Proportional to 67.48, 100.45 and 64.40

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Solution

The fourth proportional to 67.48, 100.45 and 64.40 is: 95.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.48 : 100.45 = 64.40 : x
  2. Step 2: Convert to fraction form
    67.48/100.45 = 64.40/x
  3. Step 3: Cross multiply
    67.48x = 100.45 × 64.40
  4. Step 4: Simplify right side
    67.48x = 6,468.98
  5. Step 5: Solve for x
    x = 6,468.98/67.48
  6. Step 6: Final answer
    x = 95.87

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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.