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Finding the Fourth Proportional to 95.44, 143.17 and 52.15

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Solution

The fourth proportional to 95.44, 143.17 and 52.15 is: 78.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.44 : 143.17 = 52.15 : x
  2. Step 2: Convert to fraction form
    95.44/143.17 = 52.15/x
  3. Step 3: Cross multiply
    95.44x = 143.17 × 52.15
  4. Step 4: Simplify right side
    95.44x = 7,466.32
  5. Step 5: Solve for x
    x = 7,466.32/95.44
  6. Step 6: Final answer
    x = 78.23

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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.