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Finding the Fourth Proportional to 115.96, 160.03 and 74.54

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Solution

The fourth proportional to 115.96, 160.03 and 74.54 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.96 : 160.03 = 74.54 : x
  2. Step 2: Convert to fraction form
    115.96/160.03 = 74.54/x
  3. Step 3: Cross multiply
    115.96x = 160.03 × 74.54
  4. Step 4: Simplify right side
    115.96x = 11,927.86
  5. Step 5: Solve for x
    x = 11,927.86/115.96
  6. Step 6: Final answer
    x = 102.86

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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.