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Finding the Fourth Proportional to 115.67, 174.35 and 103.93

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Solution

The fourth proportional to 115.67, 174.35 and 103.93 is: 156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.67 : 174.35 = 103.93 : x
  2. Step 2: Convert to fraction form
    115.67/174.35 = 103.93/x
  3. Step 3: Cross multiply
    115.67x = 174.35 × 103.93
  4. Step 4: Simplify right side
    115.67x = 18,120.20
  5. Step 5: Solve for x
    x = 18,120.20/115.67
  6. Step 6: Final answer
    x = 156.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.