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Finding the Fourth Proportional to 29.74, 41 and 21.56

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Solution

The fourth proportional to 29.74, 41 and 21.56 is: 29.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 41 = 21.56 : x
  2. Step 2: Convert to fraction form
    29.74/41 = 21.56/x
  3. Step 3: Cross multiply
    29.74x = 41 × 21.56
  4. Step 4: Simplify right side
    29.74x = 883.96
  5. Step 5: Solve for x
    x = 883.96/29.74
  6. Step 6: Final answer
    x = 29.72

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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.