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Finding the Fourth Proportional to 115.12, 172.40 and 102.97

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Solution

The fourth proportional to 115.12, 172.40 and 102.97 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.12 : 172.40 = 102.97 : x
  2. Step 2: Convert to fraction form
    115.12/172.40 = 102.97/x
  3. Step 3: Cross multiply
    115.12x = 172.40 × 102.97
  4. Step 4: Simplify right side
    115.12x = 17,751.08
  5. Step 5: Solve for x
    x = 17,751.08/115.12
  6. Step 6: Final answer
    x = 154.20

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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.