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Finding the Fourth Proportional to 123.36, 184.97 and 77.81

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Solution

The fourth proportional to 123.36, 184.97 and 77.81 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 184.97 = 77.81 : x
  2. Step 2: Convert to fraction form
    123.36/184.97 = 77.81/x
  3. Step 3: Cross multiply
    123.36x = 184.97 × 77.81
  4. Step 4: Simplify right side
    123.36x = 14,391.20
  5. Step 5: Solve for x
    x = 14,391.20/123.36
  6. Step 6: Final answer
    x = 116.66

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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.