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Finding the Fourth Proportional to 124.00, 184.68 and 119.14

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Solution

The fourth proportional to 124.00, 184.68 and 119.14 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.00 : 184.68 = 119.14 : x
  2. Step 2: Convert to fraction form
    124.00/184.68 = 119.14/x
  3. Step 3: Cross multiply
    124.00x = 184.68 × 119.14
  4. Step 4: Simplify right side
    124.00x = 22,002.31
  5. Step 5: Solve for x
    x = 22,002.31/124.00
  6. Step 6: Final answer
    x = 177.44

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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.