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Finding the Fourth Proportional to 95.00, 142.27 and 49.34

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Solution

The fourth proportional to 95.00, 142.27 and 49.34 is: 73.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.00 : 142.27 = 49.34 : x
  2. Step 2: Convert to fraction form
    95.00/142.27 = 49.34/x
  3. Step 3: Cross multiply
    95.00x = 142.27 × 49.34
  4. Step 4: Simplify right side
    95.00x = 7,019.83
  5. Step 5: Solve for x
    x = 7,019.83/95.00
  6. Step 6: Final answer
    x = 73.90

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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.