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Finding the Fourth Proportional to 37.85, 52.24 and 24.05

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Solution

The fourth proportional to 37.85, 52.24 and 24.05 is: 33.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 52.24 = 24.05 : x
  2. Step 2: Convert to fraction form
    37.85/52.24 = 24.05/x
  3. Step 3: Cross multiply
    37.85x = 52.24 × 24.05
  4. Step 4: Simplify right side
    37.85x = 1,256.37
  5. Step 5: Solve for x
    x = 1,256.37/37.85
  6. Step 6: Final answer
    x = 33.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.