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Finding the Fourth Proportional to 95.63, 143.48 and 49.96

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Solution

The fourth proportional to 95.63, 143.48 and 49.96 is: 74.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.63 : 143.48 = 49.96 : x
  2. Step 2: Convert to fraction form
    95.63/143.48 = 49.96/x
  3. Step 3: Cross multiply
    95.63x = 143.48 × 49.96
  4. Step 4: Simplify right side
    95.63x = 7,168.03
  5. Step 5: Solve for x
    x = 7,168.03/95.63
  6. Step 6: Final answer
    x = 74.95

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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.