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Finding the Fourth Proportional to 67.68, 93.48 and 61.84

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Solution

The fourth proportional to 67.68, 93.48 and 61.84 is: 85.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.68 : 93.48 = 61.84 : x
  2. Step 2: Convert to fraction form
    67.68/93.48 = 61.84/x
  3. Step 3: Cross multiply
    67.68x = 93.48 × 61.84
  4. Step 4: Simplify right side
    67.68x = 5,780.80
  5. Step 5: Solve for x
    x = 5,780.80/67.68
  6. Step 6: Final answer
    x = 85.41

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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.