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Finding the Fourth Proportional to 123.77, 184.26 and 123.17

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Solution

The fourth proportional to 123.77, 184.26 and 123.17 is: 183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.77 : 184.26 = 123.17 : x
  2. Step 2: Convert to fraction form
    123.77/184.26 = 123.17/x
  3. Step 3: Cross multiply
    123.77x = 184.26 × 123.17
  4. Step 4: Simplify right side
    123.77x = 22,694.38
  5. Step 5: Solve for x
    x = 22,694.38/123.77
  6. Step 6: Final answer
    x = 183.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.