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Finding the Fourth Proportional to 115.00, 172.49 and 38.00

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Solution

The fourth proportional to 115.00, 172.49 and 38.00 is: 57.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.00 : 172.49 = 38.00 : x
  2. Step 2: Convert to fraction form
    115.00/172.49 = 38.00/x
  3. Step 3: Cross multiply
    115.00x = 172.49 × 38.00
  4. Step 4: Simplify right side
    115.00x = 6,555.15
  5. Step 5: Solve for x
    x = 6,555.15/115.00
  6. Step 6: Final answer
    x = 57.00

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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.