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Finding the Fourth Proportional to 29.74, 40.96 and 24.29

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Solution

The fourth proportional to 29.74, 40.96 and 24.29 is: 33.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 40.96 = 24.29 : x
  2. Step 2: Convert to fraction form
    29.74/40.96 = 24.29/x
  3. Step 3: Cross multiply
    29.74x = 40.96 × 24.29
  4. Step 4: Simplify right side
    29.74x = 994.92
  5. Step 5: Solve for x
    x = 994.92/29.74
  6. Step 6: Final answer
    x = 33.45

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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.