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Finding the Fourth Proportional to 115.06, 172.61 and 38.05

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Solution

The fourth proportional to 115.06, 172.61 and 38.05 is: 57.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.06 : 172.61 = 38.05 : x
  2. Step 2: Convert to fraction form
    115.06/172.61 = 38.05/x
  3. Step 3: Cross multiply
    115.06x = 172.61 × 38.05
  4. Step 4: Simplify right side
    115.06x = 6,567.81
  5. Step 5: Solve for x
    x = 6,567.81/115.06
  6. Step 6: Final answer
    x = 57.08

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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.