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Finding the Fourth Proportional to 95.96, 143.86 and 55.33

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Solution

The fourth proportional to 95.96, 143.86 and 55.33 is: 82.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.96 : 143.86 = 55.33 : x
  2. Step 2: Convert to fraction form
    95.96/143.86 = 55.33/x
  3. Step 3: Cross multiply
    95.96x = 143.86 × 55.33
  4. Step 4: Simplify right side
    95.96x = 7,960.02
  5. Step 5: Solve for x
    x = 7,960.02/95.96
  6. Step 6: Final answer
    x = 82.95

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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.