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Finding the Fourth Proportional to 138.80, 192.02 and 114.19

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Solution

The fourth proportional to 138.80, 192.02 and 114.19 is: 157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 192.02 = 114.19 : x
  2. Step 2: Convert to fraction form
    138.80/192.02 = 114.19/x
  3. Step 3: Cross multiply
    138.80x = 192.02 × 114.19
  4. Step 4: Simplify right side
    138.80x = 21,926.76
  5. Step 5: Solve for x
    x = 21,926.76/138.80
  6. Step 6: Final answer
    x = 157.97

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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.