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Finding the Fourth Proportional to 61.85, 85.75 and 58.77

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Solution

The fourth proportional to 61.85, 85.75 and 58.77 is: 81.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.85 : 85.75 = 58.77 : x
  2. Step 2: Convert to fraction form
    61.85/85.75 = 58.77/x
  3. Step 3: Cross multiply
    61.85x = 85.75 × 58.77
  4. Step 4: Simplify right side
    61.85x = 5,039.53
  5. Step 5: Solve for x
    x = 5,039.53/61.85
  6. Step 6: Final answer
    x = 81.48

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