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Finding the Fourth Proportional to 159.66, 220.24 and 132.14

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Solution

The fourth proportional to 159.66, 220.24 and 132.14 is: 182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.66 : 220.24 = 132.14 : x
  2. Step 2: Convert to fraction form
    159.66/220.24 = 132.14/x
  3. Step 3: Cross multiply
    159.66x = 220.24 × 132.14
  4. Step 4: Simplify right side
    159.66x = 29,102.51
  5. Step 5: Solve for x
    x = 29,102.51/159.66
  6. Step 6: Final answer
    x = 182.28

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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.