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Finding the Fourth Proportional to 40.76, 60.87 and 27.82

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Solution

The fourth proportional to 40.76, 60.87 and 27.82 is: 41.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 60.87 = 27.82 : x
  2. Step 2: Convert to fraction form
    40.76/60.87 = 27.82/x
  3. Step 3: Cross multiply
    40.76x = 60.87 × 27.82
  4. Step 4: Simplify right side
    40.76x = 1,693.26
  5. Step 5: Solve for x
    x = 1,693.26/40.76
  6. Step 6: Final answer
    x = 41.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.