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Finding the Fourth Proportional to 26.57, 39.78 and 13.02

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Solution

The fourth proportional to 26.57, 39.78 and 13.02 is: 19.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 39.78 = 13.02 : x
  2. Step 2: Convert to fraction form
    26.57/39.78 = 13.02/x
  3. Step 3: Cross multiply
    26.57x = 39.78 × 13.02
  4. Step 4: Simplify right side
    26.57x = 517.94
  5. Step 5: Solve for x
    x = 517.94/26.57
  6. Step 6: Final answer
    x = 19.50

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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.