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Finding the Fourth Proportional to 26.31, 39.45 and 13.46

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Solution

The fourth proportional to 26.31, 39.45 and 13.46 is: 20.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.31 : 39.45 = 13.46 : x
  2. Step 2: Convert to fraction form
    26.31/39.45 = 13.46/x
  3. Step 3: Cross multiply
    26.31x = 39.45 × 13.46
  4. Step 4: Simplify right side
    26.31x = 530.99
  5. Step 5: Solve for x
    x = 530.99/26.31
  6. Step 6: Final answer
    x = 20.18

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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.