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Finding the Fourth Proportional to 123.81, 184.23 and 117.38

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Solution

The fourth proportional to 123.81, 184.23 and 117.38 is: 174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.81 : 184.23 = 117.38 : x
  2. Step 2: Convert to fraction form
    123.81/184.23 = 117.38/x
  3. Step 3: Cross multiply
    123.81x = 184.23 × 117.38
  4. Step 4: Simplify right side
    123.81x = 21,624.00
  5. Step 5: Solve for x
    x = 21,624.00/123.81
  6. Step 6: Final answer
    x = 174.65

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Why These Related Problems?

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