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Finding the Fourth Proportional to 132.65, 182.60 and 119.30

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Solution

The fourth proportional to 132.65, 182.60 and 119.30 is: 164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.65 : 182.60 = 119.30 : x
  2. Step 2: Convert to fraction form
    132.65/182.60 = 119.30/x
  3. Step 3: Cross multiply
    132.65x = 182.60 × 119.30
  4. Step 4: Simplify right side
    132.65x = 21,783.12
  5. Step 5: Solve for x
    x = 21,783.12/132.65
  6. Step 6: Final answer
    x = 164.22

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Why These Related Problems?

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