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Finding the Fourth Proportional to 26.83, 40.24 and 9.71

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Solution

The fourth proportional to 26.83, 40.24 and 9.71 is: 14.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.83 : 40.24 = 9.71 : x
  2. Step 2: Convert to fraction form
    26.83/40.24 = 9.71/x
  3. Step 3: Cross multiply
    26.83x = 40.24 × 9.71
  4. Step 4: Simplify right side
    26.83x = 390.73
  5. Step 5: Solve for x
    x = 390.73/26.83
  6. Step 6: Final answer
    x = 14.57

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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.