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Finding the Fourth Proportional to 61.67, 85.14 and 57.80

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Solution

The fourth proportional to 61.67, 85.14 and 57.80 is: 79.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 85.14 = 57.80 : x
  2. Step 2: Convert to fraction form
    61.67/85.14 = 57.80/x
  3. Step 3: Cross multiply
    61.67x = 85.14 × 57.80
  4. Step 4: Simplify right side
    61.67x = 4,920.67
  5. Step 5: Solve for x
    x = 4,920.67/61.67
  6. Step 6: Final answer
    x = 79.80

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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.