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Finding the Fourth Proportional to 95.35, 142.92 and 46.60

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Solution

The fourth proportional to 95.35, 142.92 and 46.60 is: 69.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.35 : 142.92 = 46.60 : x
  2. Step 2: Convert to fraction form
    95.35/142.92 = 46.60/x
  3. Step 3: Cross multiply
    95.35x = 142.92 × 46.60
  4. Step 4: Simplify right side
    95.35x = 6,660.07
  5. Step 5: Solve for x
    x = 6,660.07/95.35
  6. Step 6: Final answer
    x = 69.85

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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.