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Finding the Fourth Proportional to 26.32, 39.48 and 14.29

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Solution

The fourth proportional to 26.32, 39.48 and 14.29 is: 21.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.32 : 39.48 = 14.29 : x
  2. Step 2: Convert to fraction form
    26.32/39.48 = 14.29/x
  3. Step 3: Cross multiply
    26.32x = 39.48 × 14.29
  4. Step 4: Simplify right side
    26.32x = 564.17
  5. Step 5: Solve for x
    x = 564.17/26.32
  6. Step 6: Final answer
    x = 21.44

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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.