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Finding the Fourth Proportional to 106.14, 159.18 and 37.68

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Solution

The fourth proportional to 106.14, 159.18 and 37.68 is: 56.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 159.18 = 37.68 : x
  2. Step 2: Convert to fraction form
    106.14/159.18 = 37.68/x
  3. Step 3: Cross multiply
    106.14x = 159.18 × 37.68
  4. Step 4: Simplify right side
    106.14x = 5,997.90
  5. Step 5: Solve for x
    x = 5,997.90/106.14
  6. Step 6: Final answer
    x = 56.51

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Why These Related Problems?

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