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Finding the Fourth Proportional to 138.42, 190.99 and 94.17

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Solution

The fourth proportional to 138.42, 190.99 and 94.17 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 190.99 = 94.17 : x
  2. Step 2: Convert to fraction form
    138.42/190.99 = 94.17/x
  3. Step 3: Cross multiply
    138.42x = 190.99 × 94.17
  4. Step 4: Simplify right side
    138.42x = 17,984.57
  5. Step 5: Solve for x
    x = 17,984.57/138.42
  6. Step 6: Final answer
    x = 129.93

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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.