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Finding the Fourth Proportional to 160.10, 221.02 and 120.70

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Solution

The fourth proportional to 160.10, 221.02 and 120.70 is: 166.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.10 : 221.02 = 120.70 : x
  2. Step 2: Convert to fraction form
    160.10/221.02 = 120.70/x
  3. Step 3: Cross multiply
    160.10x = 221.02 × 120.70
  4. Step 4: Simplify right side
    160.10x = 26,677.77
  5. Step 5: Solve for x
    x = 26,677.77/160.10
  6. Step 6: Final answer
    x = 166.63

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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.