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Finding the Fourth Proportional to 106.10, 159.14 and 37.65

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Solution

The fourth proportional to 106.10, 159.14 and 37.65 is: 56.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.10 : 159.14 = 37.65 : x
  2. Step 2: Convert to fraction form
    106.10/159.14 = 37.65/x
  3. Step 3: Cross multiply
    106.10x = 159.14 × 37.65
  4. Step 4: Simplify right side
    106.10x = 5,991.43
  5. Step 5: Solve for x
    x = 5,991.43/106.10
  6. Step 6: Final answer
    x = 56.47

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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.