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Finding the Fourth Proportional to 95.34, 143.23 and 54.86

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Solution

The fourth proportional to 95.34, 143.23 and 54.86 is: 82.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 143.23 = 54.86 : x
  2. Step 2: Convert to fraction form
    95.34/143.23 = 54.86/x
  3. Step 3: Cross multiply
    95.34x = 143.23 × 54.86
  4. Step 4: Simplify right side
    95.34x = 7,857.60
  5. Step 5: Solve for x
    x = 7,857.60/95.34
  6. Step 6: Final answer
    x = 82.42

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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.