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Finding the Fourth Proportional to 29.75, 44.57 and 24.05

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Solution

The fourth proportional to 29.75, 44.57 and 24.05 is: 36.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 44.57 = 24.05 : x
  2. Step 2: Convert to fraction form
    29.75/44.57 = 24.05/x
  3. Step 3: Cross multiply
    29.75x = 44.57 × 24.05
  4. Step 4: Simplify right side
    29.75x = 1,071.57
  5. Step 5: Solve for x
    x = 1,071.57/29.75
  6. Step 6: Final answer
    x = 36.03

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Why These Related Problems?

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