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Finding the Fourth Proportional to 95.06, 142.46 and 49.31

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Solution

The fourth proportional to 95.06, 142.46 and 49.31 is: 73.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 142.46 = 49.31 : x
  2. Step 2: Convert to fraction form
    95.06/142.46 = 49.31/x
  3. Step 3: Cross multiply
    95.06x = 142.46 × 49.31
  4. Step 4: Simplify right side
    95.06x = 7,025.00
  5. Step 5: Solve for x
    x = 7,025.00/95.06
  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.