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Finding the Fourth Proportional to 75.62, 113.81 and 68.16

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Solution

The fourth proportional to 75.62, 113.81 and 68.16 is: 102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 113.81 = 68.16 : x
  2. Step 2: Convert to fraction form
    75.62/113.81 = 68.16/x
  3. Step 3: Cross multiply
    75.62x = 113.81 × 68.16
  4. Step 4: Simplify right side
    75.62x = 7,756.95
  5. Step 5: Solve for x
    x = 7,756.95/75.62
  6. Step 6: Final answer
    x = 102.58

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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.