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Finding the Fourth Proportional to 67.86, 93.68 and 40.24

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Solution

The fourth proportional to 67.86, 93.68 and 40.24 is: 55.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 93.68 = 40.24 : x
  2. Step 2: Convert to fraction form
    67.86/93.68 = 40.24/x
  3. Step 3: Cross multiply
    67.86x = 93.68 × 40.24
  4. Step 4: Simplify right side
    67.86x = 3,769.68
  5. Step 5: Solve for x
    x = 3,769.68/67.86
  6. Step 6: Final answer
    x = 55.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.