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Finding the Fourth Proportional to 26.99, 40.47 and 13.47

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Solution

The fourth proportional to 26.99, 40.47 and 13.47 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.99 : 40.47 = 13.47 : x
  2. Step 2: Convert to fraction form
    26.99/40.47 = 13.47/x
  3. Step 3: Cross multiply
    26.99x = 40.47 × 13.47
  4. Step 4: Simplify right side
    26.99x = 545.13
  5. Step 5: Solve for x
    x = 545.13/26.99
  6. Step 6: Final answer
    x = 20.20

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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.