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Finding the Fourth Proportional to 131.59, 198.28 and 109.27

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Solution

The fourth proportional to 131.59, 198.28 and 109.27 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.59 : 198.28 = 109.27 : x
  2. Step 2: Convert to fraction form
    131.59/198.28 = 109.27/x
  3. Step 3: Cross multiply
    131.59x = 198.28 × 109.27
  4. Step 4: Simplify right side
    131.59x = 21,666.04
  5. Step 5: Solve for x
    x = 21,666.04/131.59
  6. Step 6: Final answer
    x = 164.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.