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Finding the Fourth Proportional to 160.04, 220.73 and 120.76

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Solution

The fourth proportional to 160.04, 220.73 and 120.76 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 220.73 = 120.76 : x
  2. Step 2: Convert to fraction form
    160.04/220.73 = 120.76/x
  3. Step 3: Cross multiply
    160.04x = 220.73 × 120.76
  4. Step 4: Simplify right side
    160.04x = 26,654.20
  5. Step 5: Solve for x
    x = 26,654.20/160.04
  6. Step 6: Final answer
    x = 166.54

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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.