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Finding the Fourth Proportional to 84.04, 125.40 and 75.94

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Solution

The fourth proportional to 84.04, 125.40 and 75.94 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 125.40 = 75.94 : x
  2. Step 2: Convert to fraction form
    84.04/125.40 = 75.94/x
  3. Step 3: Cross multiply
    84.04x = 125.40 × 75.94
  4. Step 4: Simplify right side
    84.04x = 9,522.42
  5. Step 5: Solve for x
    x = 9,522.42/84.04
  6. Step 6: Final answer
    x = 113.31

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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.