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Finding the Fourth Proportional to 26.40, 36.40 and 24.64

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Solution

The fourth proportional to 26.40, 36.40 and 24.64 is: 33.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.40 : 36.40 = 24.64 : x
  2. Step 2: Convert to fraction form
    26.40/36.40 = 24.64/x
  3. Step 3: Cross multiply
    26.40x = 36.40 × 24.64
  4. Step 4: Simplify right side
    26.40x = 896.90
  5. Step 5: Solve for x
    x = 896.90/26.40
  6. Step 6: Final answer
    x = 33.97

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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.