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Finding the Fourth Proportional to 160.90, 222.09 and 102.70

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Solution

The fourth proportional to 160.90, 222.09 and 102.70 is: 141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.90 : 222.09 = 102.70 : x
  2. Step 2: Convert to fraction form
    160.90/222.09 = 102.70/x
  3. Step 3: Cross multiply
    160.90x = 222.09 × 102.70
  4. Step 4: Simplify right side
    160.90x = 22,808.64
  5. Step 5: Solve for x
    x = 22,808.64/160.90
  6. Step 6: Final answer
    x = 141.76

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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.