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Finding the Fourth Proportional to 67.68, 100.80 and 64

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Solution

The fourth proportional to 67.68, 100.80 and 64 is: 95.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 100.80 = 64 : x
  2. Step 2: Convert to fraction form
    67.68/100.80 = 64/x
  3. Step 3: Cross multiply
    67.68x = 100.80 × 64
  4. Step 4: Simplify right side
    67.68x = 6,451.20
  5. Step 5: Solve for x
    x = 6,451.20/67.68
  6. Step 6: Final answer
    x = 95.32

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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.