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Finding the Fourth Proportional to 107.70, 160.62 and 95.62

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Solution

The fourth proportional to 107.70, 160.62 and 95.62 is: 142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.70 : 160.62 = 95.62 : x
  2. Step 2: Convert to fraction form
    107.70/160.62 = 95.62/x
  3. Step 3: Cross multiply
    107.70x = 160.62 × 95.62
  4. Step 4: Simplify right side
    107.70x = 15,359.37
  5. Step 5: Solve for x
    x = 15,359.37/107.70
  6. Step 6: Final answer
    x = 142.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.