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Finding the Fourth Proportional to 123.59, 184.34 and 104.11

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Solution

The fourth proportional to 123.59, 184.34 and 104.11 is: 155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.59 : 184.34 = 104.11 : x
  2. Step 2: Convert to fraction form
    123.59/184.34 = 104.11/x
  3. Step 3: Cross multiply
    123.59x = 184.34 × 104.11
  4. Step 4: Simplify right side
    123.59x = 19,191.64
  5. Step 5: Solve for x
    x = 19,191.64/123.59
  6. Step 6: Final answer
    x = 155.28

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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.