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Finding the Fourth Proportional to 26.53, 36.45 and 25.65

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Solution

The fourth proportional to 26.53, 36.45 and 25.65 is: 35.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 36.45 = 25.65 : x
  2. Step 2: Convert to fraction form
    26.53/36.45 = 25.65/x
  3. Step 3: Cross multiply
    26.53x = 36.45 × 25.65
  4. Step 4: Simplify right side
    26.53x = 934.94
  5. Step 5: Solve for x
    x = 934.94/26.53
  6. Step 6: Final answer
    x = 35.24

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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.