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Finding the Fourth Proportional to 123.13, 184.33 and 117.37

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Solution

The fourth proportional to 123.13, 184.33 and 117.37 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.13 : 184.33 = 117.37 : x
  2. Step 2: Convert to fraction form
    123.13/184.33 = 117.37/x
  3. Step 3: Cross multiply
    123.13x = 184.33 × 117.37
  4. Step 4: Simplify right side
    123.13x = 21,634.81
  5. Step 5: Solve for x
    x = 21,634.81/123.13
  6. Step 6: Final answer
    x = 175.71

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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.