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Finding the Fourth Proportional to 138.04, 190.52 and 86.26

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Solution

The fourth proportional to 138.04, 190.52 and 86.26 is: 119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 190.52 = 86.26 : x
  2. Step 2: Convert to fraction form
    138.04/190.52 = 86.26/x
  3. Step 3: Cross multiply
    138.04x = 190.52 × 86.26
  4. Step 4: Simplify right side
    138.04x = 16,434.26
  5. Step 5: Solve for x
    x = 16,434.26/138.04
  6. Step 6: Final answer
    x = 119.05

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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.