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Finding the Fourth Proportional to 123.39, 184.08 and 117.59

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Solution

The fourth proportional to 123.39, 184.08 and 117.59 is: 175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.39 : 184.08 = 117.59 : x
  2. Step 2: Convert to fraction form
    123.39/184.08 = 117.59/x
  3. Step 3: Cross multiply
    123.39x = 184.08 × 117.59
  4. Step 4: Simplify right side
    123.39x = 21,645.97
  5. Step 5: Solve for x
    x = 21,645.97/123.39
  6. Step 6: Final answer
    x = 175.43

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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.