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Finding the Fourth Proportional to 131.76, 181.62 and 120.60

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Solution

The fourth proportional to 131.76, 181.62 and 120.60 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 181.62 = 120.60 : x
  2. Step 2: Convert to fraction form
    131.76/181.62 = 120.60/x
  3. Step 3: Cross multiply
    131.76x = 181.62 × 120.60
  4. Step 4: Simplify right side
    131.76x = 21,903.37
  5. Step 5: Solve for x
    x = 21,903.37/131.76
  6. Step 6: Final answer
    x = 166.24

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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.