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Finding the Fourth Proportional to 138.59, 190.68 and 115.01

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Solution

The fourth proportional to 138.59, 190.68 and 115.01 is: 158.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.59 : 190.68 = 115.01 : x
  2. Step 2: Convert to fraction form
    138.59/190.68 = 115.01/x
  3. Step 3: Cross multiply
    138.59x = 190.68 × 115.01
  4. Step 4: Simplify right side
    138.59x = 21,930.11
  5. Step 5: Solve for x
    x = 21,930.11/138.59
  6. Step 6: Final answer
    x = 158.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.