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Finding the Fourth Proportional to 62.31, 93.46 and 23.81

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Solution

The fourth proportional to 62.31, 93.46 and 23.81 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.31 : 93.46 = 23.81 : x
  2. Step 2: Convert to fraction form
    62.31/93.46 = 23.81/x
  3. Step 3: Cross multiply
    62.31x = 93.46 × 23.81
  4. Step 4: Simplify right side
    62.31x = 2,224.82
  5. Step 5: Solve for x
    x = 2,224.82/62.31
  6. Step 6: Final answer
    x = 35.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.