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Finding the Fourth Proportional to 124.96, 186.32 and 116.68

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Solution

The fourth proportional to 124.96, 186.32 and 116.68 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.96 : 186.32 = 116.68 : x
  2. Step 2: Convert to fraction form
    124.96/186.32 = 116.68/x
  3. Step 3: Cross multiply
    124.96x = 186.32 × 116.68
  4. Step 4: Simplify right side
    124.96x = 21,739.82
  5. Step 5: Solve for x
    x = 21,739.82/124.96
  6. Step 6: Final answer
    x = 173.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.