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Finding the Fourth Proportional to 117.96, 161.94 and 108.24

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Solution

The fourth proportional to 117.96, 161.94 and 108.24 is: 148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.96 : 161.94 = 108.24 : x
  2. Step 2: Convert to fraction form
    117.96/161.94 = 108.24/x
  3. Step 3: Cross multiply
    117.96x = 161.94 × 108.24
  4. Step 4: Simplify right side
    117.96x = 17,528.39
  5. Step 5: Solve for x
    x = 17,528.39/117.96
  6. Step 6: Final answer
    x = 148.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.