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Finding the Fourth Proportional to 67.84, 93.54 and 49.18

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Solution

The fourth proportional to 67.84, 93.54 and 49.18 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.84 : 93.54 = 49.18 : x
  2. Step 2: Convert to fraction form
    67.84/93.54 = 49.18/x
  3. Step 3: Cross multiply
    67.84x = 93.54 × 49.18
  4. Step 4: Simplify right side
    67.84x = 4,600.30
  5. Step 5: Solve for x
    x = 4,600.30/67.84
  6. Step 6: Final answer
    x = 67.81

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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.