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Finding the Fourth Proportional to 29.24, 40.34 and 23.76

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Solution

The fourth proportional to 29.24, 40.34 and 23.76 is: 32.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.24 : 40.34 = 23.76 : x
  2. Step 2: Convert to fraction form
    29.24/40.34 = 23.76/x
  3. Step 3: Cross multiply
    29.24x = 40.34 × 23.76
  4. Step 4: Simplify right side
    29.24x = 958.48
  5. Step 5: Solve for x
    x = 958.48/29.24
  6. Step 6: Final answer
    x = 32.78

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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.