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Finding the Fourth Proportional to 62.46, 93.74 and 52.33

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Solution

The fourth proportional to 62.46, 93.74 and 52.33 is: 78.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.46 : 93.74 = 52.33 : x
  2. Step 2: Convert to fraction form
    62.46/93.74 = 52.33/x
  3. Step 3: Cross multiply
    62.46x = 93.74 × 52.33
  4. Step 4: Simplify right side
    62.46x = 4,905.41
  5. Step 5: Solve for x
    x = 4,905.41/62.46
  6. Step 6: Final answer
    x = 78.54

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Why These Related Problems?

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