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Finding the Fourth Proportional to 106.29, 159.45 and 37.80

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Solution

The fourth proportional to 106.29, 159.45 and 37.80 is: 56.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.29 : 159.45 = 37.80 : x
  2. Step 2: Convert to fraction form
    106.29/159.45 = 37.80/x
  3. Step 3: Cross multiply
    106.29x = 159.45 × 37.80
  4. Step 4: Simplify right side
    106.29x = 6,027.21
  5. Step 5: Solve for x
    x = 6,027.21/106.29
  6. Step 6: Final answer
    x = 56.71

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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.