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Finding the Fourth Proportional to 29.84, 41.14 and 26.78

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Solution

The fourth proportional to 29.84, 41.14 and 26.78 is: 36.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 41.14 = 26.78 : x
  2. Step 2: Convert to fraction form
    29.84/41.14 = 26.78/x
  3. Step 3: Cross multiply
    29.84x = 41.14 × 26.78
  4. Step 4: Simplify right side
    29.84x = 1,101.73
  5. Step 5: Solve for x
    x = 1,101.73/29.84
  6. Step 6: Final answer
    x = 36.92

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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.