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Finding the Fourth Proportional to 75.86, 113.14 and 68.74

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Solution

The fourth proportional to 75.86, 113.14 and 68.74 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.14 = 68.74 : x
  2. Step 2: Convert to fraction form
    75.86/113.14 = 68.74/x
  3. Step 3: Cross multiply
    75.86x = 113.14 × 68.74
  4. Step 4: Simplify right side
    75.86x = 7,777.24
  5. Step 5: Solve for x
    x = 7,777.24/75.86
  6. Step 6: Final answer
    x = 102.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.