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Finding the Fourth Proportional to 35.29, 52.84 and 24.44

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Solution

The fourth proportional to 35.29, 52.84 and 24.44 is: 36.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.29 : 52.84 = 24.44 : x
  2. Step 2: Convert to fraction form
    35.29/52.84 = 24.44/x
  3. Step 3: Cross multiply
    35.29x = 52.84 × 24.44
  4. Step 4: Simplify right side
    35.29x = 1,291.18
  5. Step 5: Solve for x
    x = 1,291.18/35.29
  6. Step 6: Final answer
    x = 36.59

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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.