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Finding the Fourth Proportional to 115.40, 159.22 and 76.52

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Solution

The fourth proportional to 115.40, 159.22 and 76.52 is: 105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.40 : 159.22 = 76.52 : x
  2. Step 2: Convert to fraction form
    115.40/159.22 = 76.52/x
  3. Step 3: Cross multiply
    115.40x = 159.22 × 76.52
  4. Step 4: Simplify right side
    115.40x = 12,183.51
  5. Step 5: Solve for x
    x = 12,183.51/115.40
  6. Step 6: Final answer
    x = 105.58

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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.