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Finding the Fourth Proportional to 42.77, 63.92 and 36.67

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Solution

The fourth proportional to 42.77, 63.92 and 36.67 is: 54.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.77 : 63.92 = 36.67 : x
  2. Step 2: Convert to fraction form
    42.77/63.92 = 36.67/x
  3. Step 3: Cross multiply
    42.77x = 63.92 × 36.67
  4. Step 4: Simplify right side
    42.77x = 2,343.79
  5. Step 5: Solve for x
    x = 2,343.79/42.77
  6. Step 6: Final answer
    x = 54.80

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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.