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Finding the Fourth Proportional to 96.10, 131.90 and 92.14

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Solution

The fourth proportional to 96.10, 131.90 and 92.14 is: 126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 131.90 = 92.14 : x
  2. Step 2: Convert to fraction form
    96.10/131.90 = 92.14/x
  3. Step 3: Cross multiply
    96.10x = 131.90 × 92.14
  4. Step 4: Simplify right side
    96.10x = 12,152.48
  5. Step 5: Solve for x
    x = 12,152.48/96.10
  6. Step 6: Final answer
    x = 126.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.