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Finding the Fourth Proportional to 115.30, 172.97 and 34.13

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Solution

The fourth proportional to 115.30, 172.97 and 34.13 is: 51.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 172.97 = 34.13 : x
  2. Step 2: Convert to fraction form
    115.30/172.97 = 34.13/x
  3. Step 3: Cross multiply
    115.30x = 172.97 × 34.13
  4. Step 4: Simplify right side
    115.30x = 5,903.86
  5. Step 5: Solve for x
    x = 5,903.86/115.30
  6. Step 6: Final answer
    x = 51.20

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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.