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Finding the Fourth Proportional to 60.77, 83.97 and 49.83

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Solution

The fourth proportional to 60.77, 83.97 and 49.83 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.77 : 83.97 = 49.83 : x
  2. Step 2: Convert to fraction form
    60.77/83.97 = 49.83/x
  3. Step 3: Cross multiply
    60.77x = 83.97 × 49.83
  4. Step 4: Simplify right side
    60.77x = 4,184.23
  5. Step 5: Solve for x
    x = 4,184.23/60.77
  6. Step 6: Final answer
    x = 68.86

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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.