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Finding the Fourth Proportional to 106.37, 159.56 and 52.25

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Solution

The fourth proportional to 106.37, 159.56 and 52.25 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.37 : 159.56 = 52.25 : x
  2. Step 2: Convert to fraction form
    106.37/159.56 = 52.25/x
  3. Step 3: Cross multiply
    106.37x = 159.56 × 52.25
  4. Step 4: Simplify right side
    106.37x = 8,336.75
  5. Step 5: Solve for x
    x = 8,336.75/106.37
  6. Step 6: Final answer
    x = 78.37

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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.