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Finding the Fourth Proportional to 160.22, 220.95 and 104.93

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Solution

The fourth proportional to 160.22, 220.95 and 104.93 is: 144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 220.95 = 104.93 : x
  2. Step 2: Convert to fraction form
    160.22/220.95 = 104.93/x
  3. Step 3: Cross multiply
    160.22x = 220.95 × 104.93
  4. Step 4: Simplify right side
    160.22x = 23,183.18
  5. Step 5: Solve for x
    x = 23,183.18/160.22
  6. Step 6: Final answer
    x = 144.70

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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.