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Finding the Fourth Proportional to 123.70, 184.32 and 119.05

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Solution

The fourth proportional to 123.70, 184.32 and 119.05 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.70 : 184.32 = 119.05 : x
  2. Step 2: Convert to fraction form
    123.70/184.32 = 119.05/x
  3. Step 3: Cross multiply
    123.70x = 184.32 × 119.05
  4. Step 4: Simplify right side
    123.70x = 21,943.30
  5. Step 5: Solve for x
    x = 21,943.30/123.70
  6. Step 6: Final answer
    x = 177.39

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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.