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Finding the Fourth Proportional to 160.16, 220.85 and 104.81

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Solution

The fourth proportional to 160.16, 220.85 and 104.81 is: 144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 220.85 = 104.81 : x
  2. Step 2: Convert to fraction form
    160.16/220.85 = 104.81/x
  3. Step 3: Cross multiply
    160.16x = 220.85 × 104.81
  4. Step 4: Simplify right side
    160.16x = 23,147.32
  5. Step 5: Solve for x
    x = 23,147.32/160.16
  6. Step 6: Final answer
    x = 144.52

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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.