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Finding the Fourth Proportional to 29.84, 40.91 and 26.78

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Solution

The fourth proportional to 29.84, 40.91 and 26.78 is: 36.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 40.91 = 26.78 : x
  2. Step 2: Convert to fraction form
    29.84/40.91 = 26.78/x
  3. Step 3: Cross multiply
    29.84x = 40.91 × 26.78
  4. Step 4: Simplify right side
    29.84x = 1,095.23
  5. Step 5: Solve for x
    x = 1,095.23/29.84
  6. Step 6: Final answer
    x = 36.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.