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Finding the Fourth Proportional to 160.66, 221.82 and 105.50

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Solution

The fourth proportional to 160.66, 221.82 and 105.50 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.66 : 221.82 = 105.50 : x
  2. Step 2: Convert to fraction form
    160.66/221.82 = 105.50/x
  3. Step 3: Cross multiply
    160.66x = 221.82 × 105.50
  4. Step 4: Simplify right side
    160.66x = 23,402.01
  5. Step 5: Solve for x
    x = 23,402.01/160.66
  6. Step 6: Final answer
    x = 145.66

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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.