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Finding the Fourth Proportional to 131.72, 197.57 and 49.48

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Solution

The fourth proportional to 131.72, 197.57 and 49.48 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.72 : 197.57 = 49.48 : x
  2. Step 2: Convert to fraction form
    131.72/197.57 = 49.48/x
  3. Step 3: Cross multiply
    131.72x = 197.57 × 49.48
  4. Step 4: Simplify right side
    131.72x = 9,775.39
  5. Step 5: Solve for x
    x = 9,775.39/131.72
  6. Step 6: Final answer
    x = 74.22

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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.