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Finding the Fourth Proportional to 95.82, 143.64 and 34.95

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Solution

The fourth proportional to 95.82, 143.64 and 34.95 is: 52.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 143.64 = 34.95 : x
  2. Step 2: Convert to fraction form
    95.82/143.64 = 34.95/x
  3. Step 3: Cross multiply
    95.82x = 143.64 × 34.95
  4. Step 4: Simplify right side
    95.82x = 5,020.22
  5. Step 5: Solve for x
    x = 5,020.22/95.82
  6. Step 6: Final answer
    x = 52.39

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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.