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Finding the Fourth Proportional to 115.11, 172.40 and 114.03

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Solution

The fourth proportional to 115.11, 172.40 and 114.03 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.11 : 172.40 = 114.03 : x
  2. Step 2: Convert to fraction form
    115.11/172.40 = 114.03/x
  3. Step 3: Cross multiply
    115.11x = 172.40 × 114.03
  4. Step 4: Simplify right side
    115.11x = 19,658.20
  5. Step 5: Solve for x
    x = 19,658.20/115.11
  6. Step 6: Final answer
    x = 170.78

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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.