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Finding the Fourth Proportional to 26.28, 39.65 and 24.66

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Solution

The fourth proportional to 26.28, 39.65 and 24.66 is: 37.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.28 : 39.65 = 24.66 : x
  2. Step 2: Convert to fraction form
    26.28/39.65 = 24.66/x
  3. Step 3: Cross multiply
    26.28x = 39.65 × 24.66
  4. Step 4: Simplify right side
    26.28x = 977.65
  5. Step 5: Solve for x
    x = 977.65/26.28
  6. Step 6: Final answer
    x = 37.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.