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Finding the Fourth Proportional to 138.13, 190.64 and 89.14

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Solution

The fourth proportional to 138.13, 190.64 and 89.14 is: 123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 190.64 = 89.14 : x
  2. Step 2: Convert to fraction form
    138.13/190.64 = 89.14/x
  3. Step 3: Cross multiply
    138.13x = 190.64 × 89.14
  4. Step 4: Simplify right side
    138.13x = 16,993.65
  5. Step 5: Solve for x
    x = 16,993.65/138.13
  6. Step 6: Final answer
    x = 123.03

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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.