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Finding the Fourth Proportional to 95.30, 142.92 and 46.54

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Solution

The fourth proportional to 95.30, 142.92 and 46.54 is: 69.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.30 : 142.92 = 46.54 : x
  2. Step 2: Convert to fraction form
    95.30/142.92 = 46.54/x
  3. Step 3: Cross multiply
    95.30x = 142.92 × 46.54
  4. Step 4: Simplify right side
    95.30x = 6,651.50
  5. Step 5: Solve for x
    x = 6,651.50/95.30
  6. Step 6: Final answer
    x = 69.80

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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.