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Finding the Fourth Proportional to 95.82, 143.75 and 55.16

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Solution

The fourth proportional to 95.82, 143.75 and 55.16 is: 82.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 143.75 = 55.16 : x
  2. Step 2: Convert to fraction form
    95.82/143.75 = 55.16/x
  3. Step 3: Cross multiply
    95.82x = 143.75 × 55.16
  4. Step 4: Simplify right side
    95.82x = 7,929.25
  5. Step 5: Solve for x
    x = 7,929.25/95.82
  6. Step 6: Final answer
    x = 82.75

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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.