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Finding the Fourth Proportional to 115.96, 159.90 and 77.08

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Solution

The fourth proportional to 115.96, 159.90 and 77.08 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 159.90 = 77.08 : x
  2. Step 2: Convert to fraction form
    115.96/159.90 = 77.08/x
  3. Step 3: Cross multiply
    115.96x = 159.90 × 77.08
  4. Step 4: Simplify right side
    115.96x = 12,325.09
  5. Step 5: Solve for x
    x = 12,325.09/115.96
  6. Step 6: Final answer
    x = 106.29

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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.