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Finding the Fourth Proportional to 45.23, 67.84 and 40.77

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Solution

The fourth proportional to 45.23, 67.84 and 40.77 is: 61.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.23 : 67.84 = 40.77 : x
  2. Step 2: Convert to fraction form
    45.23/67.84 = 40.77/x
  3. Step 3: Cross multiply
    45.23x = 67.84 × 40.77
  4. Step 4: Simplify right side
    45.23x = 2,765.73
  5. Step 5: Solve for x
    x = 2,765.73/45.23
  6. Step 6: Final answer
    x = 61.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.