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Finding the Fourth Proportional to 131.76, 197.76 and 106.26

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Solution

The fourth proportional to 131.76, 197.76 and 106.26 is: 159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 197.76 = 106.26 : x
  2. Step 2: Convert to fraction form
    131.76/197.76 = 106.26/x
  3. Step 3: Cross multiply
    131.76x = 197.76 × 106.26
  4. Step 4: Simplify right side
    131.76x = 21,013.98
  5. Step 5: Solve for x
    x = 21,013.98/131.76
  6. Step 6: Final answer
    x = 159.49

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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.