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Finding the Fourth Proportional to 71.29, 106.96 and 25.64

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Solution

The fourth proportional to 71.29, 106.96 and 25.64 is: 38.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.29 : 106.96 = 25.64 : x
  2. Step 2: Convert to fraction form
    71.29/106.96 = 25.64/x
  3. Step 3: Cross multiply
    71.29x = 106.96 × 25.64
  4. Step 4: Simplify right side
    71.29x = 2,742.33
  5. Step 5: Solve for x
    x = 2,742.33/71.29
  6. Step 6: Final answer
    x = 38.47

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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.