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Finding the Fourth Proportional to 84.68, 126.37 and 75.57

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Solution

The fourth proportional to 84.68, 126.37 and 75.57 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.68 : 126.37 = 75.57 : x
  2. Step 2: Convert to fraction form
    84.68/126.37 = 75.57/x
  3. Step 3: Cross multiply
    84.68x = 126.37 × 75.57
  4. Step 4: Simplify right side
    84.68x = 9,548.96
  5. Step 5: Solve for x
    x = 9,548.96/84.68
  6. Step 6: Final answer
    x = 112.77

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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.