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Finding the Fourth Proportional to 115.93, 174.04 and 90.41

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Solution

The fourth proportional to 115.93, 174.04 and 90.41 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.93 : 174.04 = 90.41 : x
  2. Step 2: Convert to fraction form
    115.93/174.04 = 90.41/x
  3. Step 3: Cross multiply
    115.93x = 174.04 × 90.41
  4. Step 4: Simplify right side
    115.93x = 15,734.96
  5. Step 5: Solve for x
    x = 15,734.96/115.93
  6. Step 6: Final answer
    x = 135.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.