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Finding the Fourth Proportional to 95.43, 143.02 and 49.82

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Solution

The fourth proportional to 95.43, 143.02 and 49.82 is: 74.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.43 : 143.02 = 49.82 : x
  2. Step 2: Convert to fraction form
    95.43/143.02 = 49.82/x
  3. Step 3: Cross multiply
    95.43x = 143.02 × 49.82
  4. Step 4: Simplify right side
    95.43x = 7,124.32
  5. Step 5: Solve for x
    x = 7,124.32/95.43
  6. Step 6: Final answer
    x = 74.66

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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.