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Finding the Fourth Proportional to 106.19, 159.26 and 37.70

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Solution

The fourth proportional to 106.19, 159.26 and 37.70 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 159.26 = 37.70 : x
  2. Step 2: Convert to fraction form
    106.19/159.26 = 37.70/x
  3. Step 3: Cross multiply
    106.19x = 159.26 × 37.70
  4. Step 4: Simplify right side
    106.19x = 6,004.10
  5. Step 5: Solve for x
    x = 6,004.10/106.19
  6. Step 6: Final answer
    x = 56.54

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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.