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Finding the Fourth Proportional to 60.93, 83.97 and 49.23

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Solution

The fourth proportional to 60.93, 83.97 and 49.23 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.93 : 83.97 = 49.23 : x
  2. Step 2: Convert to fraction form
    60.93/83.97 = 49.23/x
  3. Step 3: Cross multiply
    60.93x = 83.97 × 49.23
  4. Step 4: Simplify right side
    60.93x = 4,133.84
  5. Step 5: Solve for x
    x = 4,133.84/60.93
  6. Step 6: Final answer
    x = 67.85

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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.