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Finding the Fourth Proportional to 138.06, 190.50 and 79.04

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Solution

The fourth proportional to 138.06, 190.50 and 79.04 is: 109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 190.50 = 79.04 : x
  2. Step 2: Convert to fraction form
    138.06/190.50 = 79.04/x
  3. Step 3: Cross multiply
    138.06x = 190.50 × 79.04
  4. Step 4: Simplify right side
    138.06x = 15,057.12
  5. Step 5: Solve for x
    x = 15,057.12/138.06
  6. Step 6: Final answer
    x = 109.06

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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.