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Finding the Fourth Proportional to 160.90, 222.04 and 95.42

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Solution

The fourth proportional to 160.90, 222.04 and 95.42 is: 131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 222.04 = 95.42 : x
  2. Step 2: Convert to fraction form
    160.90/222.04 = 95.42/x
  3. Step 3: Cross multiply
    160.90x = 222.04 × 95.42
  4. Step 4: Simplify right side
    160.90x = 21,187.06
  5. Step 5: Solve for x
    x = 21,187.06/160.90
  6. Step 6: Final answer
    x = 131.68

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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.