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Finding the Fourth Proportional to 26.57, 39.80 and 16.40

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Solution

The fourth proportional to 26.57, 39.80 and 16.40 is: 24.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 39.80 = 16.40 : x
  2. Step 2: Convert to fraction form
    26.57/39.80 = 16.40/x
  3. Step 3: Cross multiply
    26.57x = 39.80 × 16.40
  4. Step 4: Simplify right side
    26.57x = 652.44
  5. Step 5: Solve for x
    x = 652.44/26.57
  6. Step 6: Final answer
    x = 24.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.