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Finding the Fourth Proportional to 124.83, 186.81 and 123

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Solution

The fourth proportional to 124.83, 186.81 and 123 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.83 : 186.81 = 123 : x
  2. Step 2: Convert to fraction form
    124.83/186.81 = 123/x
  3. Step 3: Cross multiply
    124.83x = 186.81 × 123
  4. Step 4: Simplify right side
    124.83x = 22,977.63
  5. Step 5: Solve for x
    x = 22,977.63/124.83
  6. Step 6: Final answer
    x = 184.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.