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Finding the Fourth Proportional to 29.49, 44.06 and 22.74

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Solution

The fourth proportional to 29.49, 44.06 and 22.74 is: 33.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.49 : 44.06 = 22.74 : x
  2. Step 2: Convert to fraction form
    29.49/44.06 = 22.74/x
  3. Step 3: Cross multiply
    29.49x = 44.06 × 22.74
  4. Step 4: Simplify right side
    29.49x = 1,001.92
  5. Step 5: Solve for x
    x = 1,001.92/29.49
  6. Step 6: Final answer
    x = 33.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.