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Finding the Fourth Proportional to 161.12, 221.76 and 136.88

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Solution

The fourth proportional to 161.12, 221.76 and 136.88 is: 188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.12 : 221.76 = 136.88 : x
  2. Step 2: Convert to fraction form
    161.12/221.76 = 136.88/x
  3. Step 3: Cross multiply
    161.12x = 221.76 × 136.88
  4. Step 4: Simplify right side
    161.12x = 30,354.51
  5. Step 5: Solve for x
    x = 30,354.51/161.12
  6. Step 6: Final answer
    x = 188.40

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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.