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Finding the Fourth Proportional to 60.20, 83.04 and 49.22

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Solution

The fourth proportional to 60.20, 83.04 and 49.22 is: 67.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.20 : 83.04 = 49.22 : x
  2. Step 2: Convert to fraction form
    60.20/83.04 = 49.22/x
  3. Step 3: Cross multiply
    60.20x = 83.04 × 49.22
  4. Step 4: Simplify right side
    60.20x = 4,087.23
  5. Step 5: Solve for x
    x = 4,087.23/60.20
  6. Step 6: Final answer
    x = 67.89

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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.