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Finding the Fourth Proportional to 67.12, 100.25 and 59.48

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Solution

The fourth proportional to 67.12, 100.25 and 59.48 is: 88.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.12 : 100.25 = 59.48 : x
  2. Step 2: Convert to fraction form
    67.12/100.25 = 59.48/x
  3. Step 3: Cross multiply
    67.12x = 100.25 × 59.48
  4. Step 4: Simplify right side
    67.12x = 5,962.87
  5. Step 5: Solve for x
    x = 5,962.87/67.12
  6. Step 6: Final answer
    x = 88.84

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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.