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Finding the Fourth Proportional to 95.82, 143.40 and 61.60

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Solution

The fourth proportional to 95.82, 143.40 and 61.60 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.82 : 143.40 = 61.60 : x
  2. Step 2: Convert to fraction form
    95.82/143.40 = 61.60/x
  3. Step 3: Cross multiply
    95.82x = 143.40 × 61.60
  4. Step 4: Simplify right side
    95.82x = 8,833.44
  5. Step 5: Solve for x
    x = 8,833.44/95.82
  6. Step 6: Final answer
    x = 92.19

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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.