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Finding the Fourth Proportional to 94.24, 140.69 and 84.10

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Solution

The fourth proportional to 94.24, 140.69 and 84.10 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.24 : 140.69 = 84.10 : x
  2. Step 2: Convert to fraction form
    94.24/140.69 = 84.10/x
  3. Step 3: Cross multiply
    94.24x = 140.69 × 84.10
  4. Step 4: Simplify right side
    94.24x = 11,832.03
  5. Step 5: Solve for x
    x = 11,832.03/94.24
  6. Step 6: Final answer
    x = 125.55

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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.