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Finding the Fourth Proportional to 131.21, 197.80 and 113.07

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Solution

The fourth proportional to 131.21, 197.80 and 113.07 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.21 : 197.80 = 113.07 : x
  2. Step 2: Convert to fraction form
    131.21/197.80 = 113.07/x
  3. Step 3: Cross multiply
    131.21x = 197.80 × 113.07
  4. Step 4: Simplify right side
    131.21x = 22,364.59
  5. Step 5: Solve for x
    x = 22,364.59/131.21
  6. Step 6: Final answer
    x = 170.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.