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Finding the Fourth Proportional to 26.12, 38.91 and 24.56

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Solution

The fourth proportional to 26.12, 38.91 and 24.56 is: 36.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.12 : 38.91 = 24.56 : x
  2. Step 2: Convert to fraction form
    26.12/38.91 = 24.56/x
  3. Step 3: Cross multiply
    26.12x = 38.91 × 24.56
  4. Step 4: Simplify right side
    26.12x = 955.51
  5. Step 5: Solve for x
    x = 955.51/26.12
  6. Step 6: Final answer
    x = 36.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.