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Finding the Fourth Proportional to 26.01, 38.97 and 14.45

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Solution

The fourth proportional to 26.01, 38.97 and 14.45 is: 21.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.01 : 38.97 = 14.45 : x
  2. Step 2: Convert to fraction form
    26.01/38.97 = 14.45/x
  3. Step 3: Cross multiply
    26.01x = 38.97 × 14.45
  4. Step 4: Simplify right side
    26.01x = 562.92
  5. Step 5: Solve for x
    x = 562.92/26.01
  6. Step 6: Final answer
    x = 21.64

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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.