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Finding the Fourth Proportional to 26.38, 39.76 and 24.64

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Solution

The fourth proportional to 26.38, 39.76 and 24.64 is: 37.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.38 : 39.76 = 24.64 : x
  2. Step 2: Convert to fraction form
    26.38/39.76 = 24.64/x
  3. Step 3: Cross multiply
    26.38x = 39.76 × 24.64
  4. Step 4: Simplify right side
    26.38x = 979.69
  5. Step 5: Solve for x
    x = 979.69/26.38
  6. Step 6: Final answer
    x = 37.14

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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.