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Finding the Fourth Proportional to 61.11, 84.36 and 40.42

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Solution

The fourth proportional to 61.11, 84.36 and 40.42 is: 55.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 84.36 = 40.42 : x
  2. Step 2: Convert to fraction form
    61.11/84.36 = 40.42/x
  3. Step 3: Cross multiply
    61.11x = 84.36 × 40.42
  4. Step 4: Simplify right side
    61.11x = 3,409.83
  5. Step 5: Solve for x
    x = 3,409.83/61.11
  6. Step 6: Final answer
    x = 55.80

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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.