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Finding the Fourth Proportional to 160.64, 221.60 and 126.08

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Solution

The fourth proportional to 160.64, 221.60 and 126.08 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 221.60 = 126.08 : x
  2. Step 2: Convert to fraction form
    160.64/221.60 = 126.08/x
  3. Step 3: Cross multiply
    160.64x = 221.60 × 126.08
  4. Step 4: Simplify right side
    160.64x = 27,939.33
  5. Step 5: Solve for x
    x = 27,939.33/160.64
  6. Step 6: Final answer
    x = 173.93

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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.