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Finding the Fourth Proportional to 97.87, 135.09 and 76.12

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Solution

The fourth proportional to 97.87, 135.09 and 76.12 is: 105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.87 : 135.09 = 76.12 : x
  2. Step 2: Convert to fraction form
    97.87/135.09 = 76.12/x
  3. Step 3: Cross multiply
    97.87x = 135.09 × 76.12
  4. Step 4: Simplify right side
    97.87x = 10,283.05
  5. Step 5: Solve for x
    x = 10,283.05/97.87
  6. Step 6: Final answer
    x = 105.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.