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Finding the Fourth Proportional to 26.50, 36.58 and 17.32

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Solution

The fourth proportional to 26.50, 36.58 and 17.32 is: 23.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.50 : 36.58 = 17.32 : x
  2. Step 2: Convert to fraction form
    26.50/36.58 = 17.32/x
  3. Step 3: Cross multiply
    26.50x = 36.58 × 17.32
  4. Step 4: Simplify right side
    26.50x = 633.57
  5. Step 5: Solve for x
    x = 633.57/26.50
  6. Step 6: Final answer
    x = 23.91

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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.