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Finding the Fourth Proportional to 37.20, 52.08 and 37.20

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Solution

The fourth proportional to 37.20, 52.08 and 37.20 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.20 : 52.08 = 37.20 : x
  2. Step 2: Convert to fraction form
    37.20/52.08 = 37.20/x
  3. Step 3: Cross multiply
    37.20x = 52.08 × 37.20
  4. Step 4: Simplify right side
    37.20x = 1,937.38
  5. Step 5: Solve for x
    x = 1,937.38/37.20
  6. Step 6: Final answer
    x = 52.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.