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Finding the Fourth Proportional to 159.61, 220.06 and 118.09

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Solution

The fourth proportional to 159.61, 220.06 and 118.09 is: 162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.61 : 220.06 = 118.09 : x
  2. Step 2: Convert to fraction form
    159.61/220.06 = 118.09/x
  3. Step 3: Cross multiply
    159.61x = 220.06 × 118.09
  4. Step 4: Simplify right side
    159.61x = 25,986.64
  5. Step 5: Solve for x
    x = 25,986.64/159.61
  6. Step 6: Final answer
    x = 162.81

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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.