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Finding the Fourth Proportional to 67.25, 100.87 and 42.95

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Solution

The fourth proportional to 67.25, 100.87 and 42.95 is: 64.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.25 : 100.87 = 42.95 : x
  2. Step 2: Convert to fraction form
    67.25/100.87 = 42.95/x
  3. Step 3: Cross multiply
    67.25x = 100.87 × 42.95
  4. Step 4: Simplify right side
    67.25x = 4,332.06
  5. Step 5: Solve for x
    x = 4,332.06/67.25
  6. Step 6: Final answer
    x = 64.42

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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.