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Finding the Fourth Proportional to 26.57, 36.64 and 15.65

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Solution

The fourth proportional to 26.57, 36.64 and 15.65 is: 21.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.57 : 36.64 = 15.65 : x
  2. Step 2: Convert to fraction form
    26.57/36.64 = 15.65/x
  3. Step 3: Cross multiply
    26.57x = 36.64 × 15.65
  4. Step 4: Simplify right side
    26.57x = 573.23
  5. Step 5: Solve for x
    x = 573.23/26.57
  6. Step 6: Final answer
    x = 21.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.