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Finding the Fourth Proportional to 160.22, 221.00 and 101.22

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Solution

The fourth proportional to 160.22, 221.00 and 101.22 is: 139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 221.00 = 101.22 : x
  2. Step 2: Convert to fraction form
    160.22/221.00 = 101.22/x
  3. Step 3: Cross multiply
    160.22x = 221.00 × 101.22
  4. Step 4: Simplify right side
    160.22x = 22,369.11
  5. Step 5: Solve for x
    x = 22,369.11/160.22
  6. Step 6: Final answer
    x = 139.62

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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.