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Finding the Fourth Proportional to 75.82, 105.19 and 71.86

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Solution

The fourth proportional to 75.82, 105.19 and 71.86 is: 99.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.82 : 105.19 = 71.86 : x
  2. Step 2: Convert to fraction form
    75.82/105.19 = 71.86/x
  3. Step 3: Cross multiply
    75.82x = 105.19 × 71.86
  4. Step 4: Simplify right side
    75.82x = 7,558.95
  5. Step 5: Solve for x
    x = 7,558.95/75.82
  6. Step 6: Final answer
    x = 99.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.