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Finding the Fourth Proportional to 123, 184.24 and 62.03

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Solution

The fourth proportional to 123, 184.24 and 62.03 is: 92.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 184.24 = 62.03 : x
  2. Step 2: Convert to fraction form
    123/184.24 = 62.03/x
  3. Step 3: Cross multiply
    123x = 184.24 × 62.03
  4. Step 4: Simplify right side
    123x = 11,428.41
  5. Step 5: Solve for x
    x = 11,428.41/123
  6. Step 6: Final answer
    x = 92.91

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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.