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Finding the Fourth Proportional to 71.78, 107.65 and 23.68

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Solution

The fourth proportional to 71.78, 107.65 and 23.68 is: 35.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.78 : 107.65 = 23.68 : x
  2. Step 2: Convert to fraction form
    71.78/107.65 = 23.68/x
  3. Step 3: Cross multiply
    71.78x = 107.65 × 23.68
  4. Step 4: Simplify right side
    71.78x = 2,548.82
  5. Step 5: Solve for x
    x = 2,548.82/71.78
  6. Step 6: Final answer
    x = 35.51

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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.