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Finding the Fourth Proportional to 71.85, 107.73 and 26.14

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Solution

The fourth proportional to 71.85, 107.73 and 26.14 is: 39.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.85 : 107.73 = 26.14 : x
  2. Step 2: Convert to fraction form
    71.85/107.73 = 26.14/x
  3. Step 3: Cross multiply
    71.85x = 107.73 × 26.14
  4. Step 4: Simplify right side
    71.85x = 2,816.14
  5. Step 5: Solve for x
    x = 2,816.14/71.85
  6. Step 6: Final answer
    x = 39.20

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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.