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Finding the Fourth Proportional to 95.73, 143.64 and 55.14

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Solution

The fourth proportional to 95.73, 143.64 and 55.14 is: 82.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.73 : 143.64 = 55.14 : x
  2. Step 2: Convert to fraction form
    95.73/143.64 = 55.14/x
  3. Step 3: Cross multiply
    95.73x = 143.64 × 55.14
  4. Step 4: Simplify right side
    95.73x = 7,920.31
  5. Step 5: Solve for x
    x = 7,920.31/95.73
  6. Step 6: Final answer
    x = 82.74

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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.