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Finding the Fourth Proportional to 115.14, 159.72 and 108.99

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Solution

The fourth proportional to 115.14, 159.72 and 108.99 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.14 : 159.72 = 108.99 : x
  2. Step 2: Convert to fraction form
    115.14/159.72 = 108.99/x
  3. Step 3: Cross multiply
    115.14x = 159.72 × 108.99
  4. Step 4: Simplify right side
    115.14x = 17,408.28
  5. Step 5: Solve for x
    x = 17,408.28/115.14
  6. Step 6: Final answer
    x = 151.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.