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Finding the Fourth Proportional to 24.57, 36.72 and 22.77

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Solution

The fourth proportional to 24.57, 36.72 and 22.77 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.57 : 36.72 = 22.77 : x
  2. Step 2: Convert to fraction form
    24.57/36.72 = 22.77/x
  3. Step 3: Cross multiply
    24.57x = 36.72 × 22.77
  4. Step 4: Simplify right side
    24.57x = 836.11
  5. Step 5: Solve for x
    x = 836.11/24.57
  6. Step 6: Final answer
    x = 34.03

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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.