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Finding the Fourth Proportional to 29.64, 40.82 and 26.76

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Solution

The fourth proportional to 29.64, 40.82 and 26.76 is: 36.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.64 : 40.82 = 26.76 : x
  2. Step 2: Convert to fraction form
    29.64/40.82 = 26.76/x
  3. Step 3: Cross multiply
    29.64x = 40.82 × 26.76
  4. Step 4: Simplify right side
    29.64x = 1,092.34
  5. Step 5: Solve for x
    x = 1,092.34/29.64
  6. Step 6: Final answer
    x = 36.85

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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.