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Finding the Fourth Proportional to 61.76, 85.82 and 61.00

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Solution

The fourth proportional to 61.76, 85.82 and 61.00 is: 84.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.82 = 61.00 : x
  2. Step 2: Convert to fraction form
    61.76/85.82 = 61.00/x
  3. Step 3: Cross multiply
    61.76x = 85.82 × 61.00
  4. Step 4: Simplify right side
    61.76x = 5,234.59
  5. Step 5: Solve for x
    x = 5,234.59/61.76
  6. Step 6: Final answer
    x = 84.76

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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.