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Finding the Fourth Proportional to 131.93, 197.91 and 53.84

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Solution

The fourth proportional to 131.93, 197.91 and 53.84 is: 80.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.93 : 197.91 = 53.84 : x
  2. Step 2: Convert to fraction form
    131.93/197.91 = 53.84/x
  3. Step 3: Cross multiply
    131.93x = 197.91 × 53.84
  4. Step 4: Simplify right side
    131.93x = 10,655.47
  5. Step 5: Solve for x
    x = 10,655.47/131.93
  6. Step 6: Final answer
    x = 80.77

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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.