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Finding the Fourth Proportional to 60.85, 84.36 and 57.77

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Solution

The fourth proportional to 60.85, 84.36 and 57.77 is: 80.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.85 : 84.36 = 57.77 : x
  2. Step 2: Convert to fraction form
    60.85/84.36 = 57.77/x
  3. Step 3: Cross multiply
    60.85x = 84.36 × 57.77
  4. Step 4: Simplify right side
    60.85x = 4,873.48
  5. Step 5: Solve for x
    x = 4,873.48/60.85
  6. Step 6: Final answer
    x = 80.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.