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Finding the Fourth Proportional to 95.38, 142.70 and 64.73

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Solution

The fourth proportional to 95.38, 142.70 and 64.73 is: 96.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 142.70 = 64.73 : x
  2. Step 2: Convert to fraction form
    95.38/142.70 = 64.73/x
  3. Step 3: Cross multiply
    95.38x = 142.70 × 64.73
  4. Step 4: Simplify right side
    95.38x = 9,237.00
  5. Step 5: Solve for x
    x = 9,237.00/95.38
  6. Step 6: Final answer
    x = 96.85

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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.