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Finding the Fourth Proportional to 123.01, 184.71 and 109.88

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Solution

The fourth proportional to 123.01, 184.71 and 109.88 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.01 : 184.71 = 109.88 : x
  2. Step 2: Convert to fraction form
    123.01/184.71 = 109.88/x
  3. Step 3: Cross multiply
    123.01x = 184.71 × 109.88
  4. Step 4: Simplify right side
    123.01x = 20,296.12
  5. Step 5: Solve for x
    x = 20,296.12/123.01
  6. Step 6: Final answer
    x = 164.99

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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.