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Finding the Fourth Proportional to 75.39, 112.83 and 68.10

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Solution

The fourth proportional to 75.39, 112.83 and 68.10 is: 101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 112.83 = 68.10 : x
  2. Step 2: Convert to fraction form
    75.39/112.83 = 68.10/x
  3. Step 3: Cross multiply
    75.39x = 112.83 × 68.10
  4. Step 4: Simplify right side
    75.39x = 7,683.72
  5. Step 5: Solve for x
    x = 7,683.72/75.39
  6. Step 6: Final answer
    x = 101.92

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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.