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Finding the Fourth Proportional to 34.80, 52.24 and 24.16

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Solution

The fourth proportional to 34.80, 52.24 and 24.16 is: 36.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.80 : 52.24 = 24.16 : x
  2. Step 2: Convert to fraction form
    34.80/52.24 = 24.16/x
  3. Step 3: Cross multiply
    34.80x = 52.24 × 24.16
  4. Step 4: Simplify right side
    34.80x = 1,262.12
  5. Step 5: Solve for x
    x = 1,262.12/34.80
  6. Step 6: Final answer
    x = 36.27

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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.