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Finding the Fourth Proportional to 106.50, 159.74 and 34.36

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Solution

The fourth proportional to 106.50, 159.74 and 34.36 is: 51.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.50 : 159.74 = 34.36 : x
  2. Step 2: Convert to fraction form
    106.50/159.74 = 34.36/x
  3. Step 3: Cross multiply
    106.50x = 159.74 × 34.36
  4. Step 4: Simplify right side
    106.50x = 5,488.67
  5. Step 5: Solve for x
    x = 5,488.67/106.50
  6. Step 6: Final answer
    x = 51.54

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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.