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Finding the Fourth Proportional to 124.01, 185.83 and 75.09

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Solution

The fourth proportional to 124.01, 185.83 and 75.09 is: 112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.01 : 185.83 = 75.09 : x
  2. Step 2: Convert to fraction form
    124.01/185.83 = 75.09/x
  3. Step 3: Cross multiply
    124.01x = 185.83 × 75.09
  4. Step 4: Simplify right side
    124.01x = 13,953.79
  5. Step 5: Solve for x
    x = 13,953.79/124.01
  6. Step 6: Final answer
    x = 112.53

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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.