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Finding the Fourth Proportional to 67.64, 100.96 and 60

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Solution

The fourth proportional to 67.64, 100.96 and 60 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 100.96 = 60 : x
  2. Step 2: Convert to fraction form
    67.64/100.96 = 60/x
  3. Step 3: Cross multiply
    67.64x = 100.96 × 60
  4. Step 4: Simplify right side
    67.64x = 6,057.60
  5. Step 5: Solve for x
    x = 6,057.60/67.64
  6. Step 6: Final answer
    x = 89.56

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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.