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Finding the Fourth Proportional to 62.09, 85.73 and 37.58

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Solution

The fourth proportional to 62.09, 85.73 and 37.58 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.09 : 85.73 = 37.58 : x
  2. Step 2: Convert to fraction form
    62.09/85.73 = 37.58/x
  3. Step 3: Cross multiply
    62.09x = 85.73 × 37.58
  4. Step 4: Simplify right side
    62.09x = 3,221.33
  5. Step 5: Solve for x
    x = 3,221.33/62.09
  6. Step 6: Final answer
    x = 51.88

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