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Finding the Fourth Proportional to 95.75, 143.46 and 92.14

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Solution

The fourth proportional to 95.75, 143.46 and 92.14 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.75 : 143.46 = 92.14 : x
  2. Step 2: Convert to fraction form
    95.75/143.46 = 92.14/x
  3. Step 3: Cross multiply
    95.75x = 143.46 × 92.14
  4. Step 4: Simplify right side
    95.75x = 13,219.36
  5. Step 5: Solve for x
    x = 13,219.36/95.75
  6. Step 6: Final answer
    x = 138.07

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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.