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Finding the Fourth Proportional to 60.84, 84.08 and 49.92

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Solution

The fourth proportional to 60.84, 84.08 and 49.92 is: 68.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.84 : 84.08 = 49.92 : x
  2. Step 2: Convert to fraction form
    60.84/84.08 = 49.92/x
  3. Step 3: Cross multiply
    60.84x = 84.08 × 49.92
  4. Step 4: Simplify right side
    60.84x = 4,197.27
  5. Step 5: Solve for x
    x = 4,197.27/60.84
  6. Step 6: Final answer
    x = 68.99

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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.