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Finding the Fourth Proportional to 131.98, 182.01 and 120.75

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Solution

The fourth proportional to 131.98, 182.01 and 120.75 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 182.01 = 120.75 : x
  2. Step 2: Convert to fraction form
    131.98/182.01 = 120.75/x
  3. Step 3: Cross multiply
    131.98x = 182.01 × 120.75
  4. Step 4: Simplify right side
    131.98x = 21,977.71
  5. Step 5: Solve for x
    x = 21,977.71/131.98
  6. Step 6: Final answer
    x = 166.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.