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Finding the Fourth Proportional to 132.16, 181.97 and 120.01

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Solution

The fourth proportional to 132.16, 181.97 and 120.01 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 181.97 = 120.01 : x
  2. Step 2: Convert to fraction form
    132.16/181.97 = 120.01/x
  3. Step 3: Cross multiply
    132.16x = 181.97 × 120.01
  4. Step 4: Simplify right side
    132.16x = 21,837.39
  5. Step 5: Solve for x
    x = 21,837.39/132.16
  6. Step 6: Final answer
    x = 165.24

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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.