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Finding the Fourth Proportional to 106.99, 160.27 and 46.04

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Solution

The fourth proportional to 106.99, 160.27 and 46.04 is: 68.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.99 : 160.27 = 46.04 : x
  2. Step 2: Convert to fraction form
    106.99/160.27 = 46.04/x
  3. Step 3: Cross multiply
    106.99x = 160.27 × 46.04
  4. Step 4: Simplify right side
    106.99x = 7,377.91
  5. Step 5: Solve for x
    x = 7,377.91/106.99
  6. Step 6: Final answer
    x = 68.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.