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Finding the Fourth Proportional to 26.65, 36.70 and 24.49

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Solution

The fourth proportional to 26.65, 36.70 and 24.49 is: 33.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.65 : 36.70 = 24.49 : x
  2. Step 2: Convert to fraction form
    26.65/36.70 = 24.49/x
  3. Step 3: Cross multiply
    26.65x = 36.70 × 24.49
  4. Step 4: Simplify right side
    26.65x = 898.78
  5. Step 5: Solve for x
    x = 898.78/26.65
  6. Step 6: Final answer
    x = 33.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.