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Finding the Fourth Proportional to 130.26, 194.08 and 123.38

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Solution

The fourth proportional to 130.26, 194.08 and 123.38 is: 183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.26 : 194.08 = 123.38 : x
  2. Step 2: Convert to fraction form
    130.26/194.08 = 123.38/x
  3. Step 3: Cross multiply
    130.26x = 194.08 × 123.38
  4. Step 4: Simplify right side
    130.26x = 23,945.59
  5. Step 5: Solve for x
    x = 23,945.59/130.26
  6. Step 6: Final answer
    x = 183.83

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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.