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Finding the Fourth Proportional to 131.01, 196.49 and 78.21

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Solution

The fourth proportional to 131.01, 196.49 and 78.21 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.01 : 196.49 = 78.21 : x
  2. Step 2: Convert to fraction form
    131.01/196.49 = 78.21/x
  3. Step 3: Cross multiply
    131.01x = 196.49 × 78.21
  4. Step 4: Simplify right side
    131.01x = 15,367.34
  5. Step 5: Solve for x
    x = 15,367.34/131.01
  6. Step 6: Final answer
    x = 117.30

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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.