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Finding the Fourth Proportional to 26.52, 36.75 and 26.04

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Solution

The fourth proportional to 26.52, 36.75 and 26.04 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.52 : 36.75 = 26.04 : x
  2. Step 2: Convert to fraction form
    26.52/36.75 = 26.04/x
  3. Step 3: Cross multiply
    26.52x = 36.75 × 26.04
  4. Step 4: Simplify right side
    26.52x = 956.97
  5. Step 5: Solve for x
    x = 956.97/26.52
  6. Step 6: Final answer
    x = 36.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.