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Finding the Fourth Proportional to 52.09, 71.83 and 37.33

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Solution

The fourth proportional to 52.09, 71.83 and 37.33 is: 51.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 71.83 = 37.33 : x
  2. Step 2: Convert to fraction form
    52.09/71.83 = 37.33/x
  3. Step 3: Cross multiply
    52.09x = 71.83 × 37.33
  4. Step 4: Simplify right side
    52.09x = 2,681.41
  5. Step 5: Solve for x
    x = 2,681.41/52.09
  6. Step 6: Final answer
    x = 51.48

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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.