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Finding the Fourth Proportional to 71.95, 108.52 and 71.11

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Solution

The fourth proportional to 71.95, 108.52 and 71.11 is: 107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.95 : 108.52 = 71.11 : x
  2. Step 2: Convert to fraction form
    71.95/108.52 = 71.11/x
  3. Step 3: Cross multiply
    71.95x = 108.52 × 71.11
  4. Step 4: Simplify right side
    71.95x = 7,716.86
  5. Step 5: Solve for x
    x = 7,716.86/71.95
  6. Step 6: Final answer
    x = 107.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.