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Finding the Fourth Proportional to 123.41, 184.89 and 62.54

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Solution

The fourth proportional to 123.41, 184.89 and 62.54 is: 93.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.41 : 184.89 = 62.54 : x
  2. Step 2: Convert to fraction form
    123.41/184.89 = 62.54/x
  3. Step 3: Cross multiply
    123.41x = 184.89 × 62.54
  4. Step 4: Simplify right side
    123.41x = 11,562.71
  5. Step 5: Solve for x
    x = 11,562.71/123.41
  6. Step 6: Final answer
    x = 93.69

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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.