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Finding the Fourth Proportional to 24.68, 36.98 and 24.22

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Solution

The fourth proportional to 24.68, 36.98 and 24.22 is: 36.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 36.98 = 24.22 : x
  2. Step 2: Convert to fraction form
    24.68/36.98 = 24.22/x
  3. Step 3: Cross multiply
    24.68x = 36.98 × 24.22
  4. Step 4: Simplify right side
    24.68x = 895.66
  5. Step 5: Solve for x
    x = 895.66/24.68
  6. Step 6: Final answer
    x = 36.29

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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.