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Finding the Fourth Proportional to 60.80, 90.99 and 37.97

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Solution

The fourth proportional to 60.80, 90.99 and 37.97 is: 56.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.80 : 90.99 = 37.97 : x
  2. Step 2: Convert to fraction form
    60.80/90.99 = 37.97/x
  3. Step 3: Cross multiply
    60.80x = 90.99 × 37.97
  4. Step 4: Simplify right side
    60.80x = 3,454.89
  5. Step 5: Solve for x
    x = 3,454.89/60.80
  6. Step 6: Final answer
    x = 56.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.