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Finding the Fourth Proportional to 131.46, 197.13 and 40.14

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Solution

The fourth proportional to 131.46, 197.13 and 40.14 is: 60.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 197.13 = 40.14 : x
  2. Step 2: Convert to fraction form
    131.46/197.13 = 40.14/x
  3. Step 3: Cross multiply
    131.46x = 197.13 × 40.14
  4. Step 4: Simplify right side
    131.46x = 7,911.61
  5. Step 5: Solve for x
    x = 7,911.61/131.46
  6. Step 6: Final answer
    x = 60.18

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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.