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Finding the Fourth Proportional to 26.14, 39.16 and 22.75

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Solution

The fourth proportional to 26.14, 39.16 and 22.75 is: 34.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.14 : 39.16 = 22.75 : x
  2. Step 2: Convert to fraction form
    26.14/39.16 = 22.75/x
  3. Step 3: Cross multiply
    26.14x = 39.16 × 22.75
  4. Step 4: Simplify right side
    26.14x = 890.89
  5. Step 5: Solve for x
    x = 890.89/26.14
  6. Step 6: Final answer
    x = 34.08

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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.