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Finding the Fourth Proportional to 123.36, 184.83 and 99.06

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Solution

The fourth proportional to 123.36, 184.83 and 99.06 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 184.83 = 99.06 : x
  2. Step 2: Convert to fraction form
    123.36/184.83 = 99.06/x
  3. Step 3: Cross multiply
    123.36x = 184.83 × 99.06
  4. Step 4: Simplify right side
    123.36x = 18,309.26
  5. Step 5: Solve for x
    x = 18,309.26/123.36
  6. Step 6: Final answer
    x = 148.42

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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.