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Finding the Fourth Proportional to 106.99, 159.38 and 106.18

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Solution

The fourth proportional to 106.99, 159.38 and 106.18 is: 158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.99 : 159.38 = 106.18 : x
  2. Step 2: Convert to fraction form
    106.99/159.38 = 106.18/x
  3. Step 3: Cross multiply
    106.99x = 159.38 × 106.18
  4. Step 4: Simplify right side
    106.99x = 16,922.97
  5. Step 5: Solve for x
    x = 16,922.97/106.99
  6. Step 6: Final answer
    x = 158.17

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Why These Related Problems?

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