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Finding the Fourth Proportional to 71.76, 107.64 and 23.72

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Solution

The fourth proportional to 71.76, 107.64 and 23.72 is: 35.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.76 : 107.64 = 23.72 : x
  2. Step 2: Convert to fraction form
    71.76/107.64 = 23.72/x
  3. Step 3: Cross multiply
    71.76x = 107.64 × 23.72
  4. Step 4: Simplify right side
    71.76x = 2,553.22
  5. Step 5: Solve for x
    x = 2,553.22/71.76
  6. Step 6: Final answer
    x = 35.58

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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.