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Finding the Fourth Proportional to 60.80, 83.89 and 34.57

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Solution

The fourth proportional to 60.80, 83.89 and 34.57 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.80 : 83.89 = 34.57 : x
  2. Step 2: Convert to fraction form
    60.80/83.89 = 34.57/x
  3. Step 3: Cross multiply
    60.80x = 83.89 × 34.57
  4. Step 4: Simplify right side
    60.80x = 2,899.90
  5. Step 5: Solve for x
    x = 2,899.90/60.80
  6. Step 6: Final answer
    x = 47.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.