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Finding the Fourth Proportional to 52.12, 71.91 and 37.36

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Solution

The fourth proportional to 52.12, 71.91 and 37.36 is: 51.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.12 : 71.91 = 37.36 : x
  2. Step 2: Convert to fraction form
    52.12/71.91 = 37.36/x
  3. Step 3: Cross multiply
    52.12x = 71.91 × 37.36
  4. Step 4: Simplify right side
    52.12x = 2,686.20
  5. Step 5: Solve for x
    x = 2,686.20/52.12
  6. Step 6: Final answer
    x = 51.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.