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Finding the Fourth Proportional to 26.53, 36.62 and 23.05

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Solution

The fourth proportional to 26.53, 36.62 and 23.05 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 36.62 = 23.05 : x
  2. Step 2: Convert to fraction form
    26.53/36.62 = 23.05/x
  3. Step 3: Cross multiply
    26.53x = 36.62 × 23.05
  4. Step 4: Simplify right side
    26.53x = 844.11
  5. Step 5: Solve for x
    x = 844.11/26.53
  6. Step 6: Final answer
    x = 31.82

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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.