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Finding the Fourth Proportional to 67.05, 100.38 and 60.64

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Solution

The fourth proportional to 67.05, 100.38 and 60.64 is: 90.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 100.38 = 60.64 : x
  2. Step 2: Convert to fraction form
    67.05/100.38 = 60.64/x
  3. Step 3: Cross multiply
    67.05x = 100.38 × 60.64
  4. Step 4: Simplify right side
    67.05x = 6,086.45
  5. Step 5: Solve for x
    x = 6,086.45/67.05
  6. Step 6: Final answer
    x = 90.77

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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.