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Finding the Fourth Proportional to 161.01, 221.76 and 117.27

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Solution

The fourth proportional to 161.01, 221.76 and 117.27 is: 161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.01 : 221.76 = 117.27 : x
  2. Step 2: Convert to fraction form
    161.01/221.76 = 117.27/x
  3. Step 3: Cross multiply
    161.01x = 221.76 × 117.27
  4. Step 4: Simplify right side
    161.01x = 26,005.80
  5. Step 5: Solve for x
    x = 26,005.80/161.01
  6. Step 6: Final answer
    x = 161.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.