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Finding the Fourth Proportional to 115.04, 171.56 and 97.73

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Solution

The fourth proportional to 115.04, 171.56 and 97.73 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.04 : 171.56 = 97.73 : x
  2. Step 2: Convert to fraction form
    115.04/171.56 = 97.73/x
  3. Step 3: Cross multiply
    115.04x = 171.56 × 97.73
  4. Step 4: Simplify right side
    115.04x = 16,765.21
  5. Step 5: Solve for x
    x = 16,765.21/115.04
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.