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Finding the Fourth Proportional to 26.23, 35.97 and 24.97

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Solution

The fourth proportional to 26.23, 35.97 and 24.97 is: 34.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.23 : 35.97 = 24.97 : x
  2. Step 2: Convert to fraction form
    26.23/35.97 = 24.97/x
  3. Step 3: Cross multiply
    26.23x = 35.97 × 24.97
  4. Step 4: Simplify right side
    26.23x = 898.17
  5. Step 5: Solve for x
    x = 898.17/26.23
  6. Step 6: Final answer
    x = 34.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.