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Finding the Fourth Proportional to 131.32, 196.69 and 108.23

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Solution

The fourth proportional to 131.32, 196.69 and 108.23 is: 162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.32 : 196.69 = 108.23 : x
  2. Step 2: Convert to fraction form
    131.32/196.69 = 108.23/x
  3. Step 3: Cross multiply
    131.32x = 196.69 × 108.23
  4. Step 4: Simplify right side
    131.32x = 21,287.51
  5. Step 5: Solve for x
    x = 21,287.51/131.32
  6. Step 6: Final answer
    x = 162.11

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