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Finding the Fourth Proportional to 124.98, 186.44 and 105.82

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Solution

The fourth proportional to 124.98, 186.44 and 105.82 is: 157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.98 : 186.44 = 105.82 : x
  2. Step 2: Convert to fraction form
    124.98/186.44 = 105.82/x
  3. Step 3: Cross multiply
    124.98x = 186.44 × 105.82
  4. Step 4: Simplify right side
    124.98x = 19,729.08
  5. Step 5: Solve for x
    x = 19,729.08/124.98
  6. Step 6: Final answer
    x = 157.86

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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.