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Finding the Fourth Proportional to 26.53, 39.71 and 23.36

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Solution

The fourth proportional to 26.53, 39.71 and 23.36 is: 34.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.53 : 39.71 = 23.36 : x
  2. Step 2: Convert to fraction form
    26.53/39.71 = 23.36/x
  3. Step 3: Cross multiply
    26.53x = 39.71 × 23.36
  4. Step 4: Simplify right side
    26.53x = 927.49
  5. Step 5: Solve for x
    x = 927.49/26.53
  6. Step 6: Final answer
    x = 34.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.