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Finding the Fourth Proportional to 160.21, 221.08 and 116.02

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Solution

The fourth proportional to 160.21, 221.08 and 116.02 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.21 : 221.08 = 116.02 : x
  2. Step 2: Convert to fraction form
    160.21/221.08 = 116.02/x
  3. Step 3: Cross multiply
    160.21x = 221.08 × 116.02
  4. Step 4: Simplify right side
    160.21x = 25,648.66
  5. Step 5: Solve for x
    x = 25,648.66/160.21
  6. Step 6: Final answer
    x = 160.09

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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.