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Finding the Fourth Proportional to 132.59, 199.79 and 110.27

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Solution

The fourth proportional to 132.59, 199.79 and 110.27 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 199.79 = 110.27 : x
  2. Step 2: Convert to fraction form
    132.59/199.79 = 110.27/x
  3. Step 3: Cross multiply
    132.59x = 199.79 × 110.27
  4. Step 4: Simplify right side
    132.59x = 22,030.84
  5. Step 5: Solve for x
    x = 22,030.84/132.59
  6. Step 6: Final answer
    x = 166.16

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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.