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Finding the Fourth Proportional to 115.98, 174.00 and 38.95

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Solution

The fourth proportional to 115.98, 174.00 and 38.95 is: 58.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 174.00 = 38.95 : x
  2. Step 2: Convert to fraction form
    115.98/174.00 = 38.95/x
  3. Step 3: Cross multiply
    115.98x = 174.00 × 38.95
  4. Step 4: Simplify right side
    115.98x = 6,777.01
  5. Step 5: Solve for x
    x = 6,777.01/115.98
  6. Step 6: Final answer
    x = 58.43

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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.