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Finding the Fourth Proportional to 61.66, 85.17 and 61.27

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Solution

The fourth proportional to 61.66, 85.17 and 61.27 is: 84.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.66 : 85.17 = 61.27 : x
  2. Step 2: Convert to fraction form
    61.66/85.17 = 61.27/x
  3. Step 3: Cross multiply
    61.66x = 85.17 × 61.27
  4. Step 4: Simplify right side
    61.66x = 5,218.37
  5. Step 5: Solve for x
    x = 5,218.37/61.66
  6. Step 6: Final answer
    x = 84.63

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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.