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Finding the Fourth Proportional to 61.65, 85.16 and 57.09

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Solution

The fourth proportional to 61.65, 85.16 and 57.09 is: 78.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 85.16 = 57.09 : x
  2. Step 2: Convert to fraction form
    61.65/85.16 = 57.09/x
  3. Step 3: Cross multiply
    61.65x = 85.16 × 57.09
  4. Step 4: Simplify right side
    61.65x = 4,861.78
  5. Step 5: Solve for x
    x = 4,861.78/61.65
  6. Step 6: Final answer
    x = 78.86

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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.