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Finding the Fourth Proportional to 76.43, 105.47 and 46.92

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Solution

The fourth proportional to 76.43, 105.47 and 46.92 is: 64.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 105.47 = 46.92 : x
  2. Step 2: Convert to fraction form
    76.43/105.47 = 46.92/x
  3. Step 3: Cross multiply
    76.43x = 105.47 × 46.92
  4. Step 4: Simplify right side
    76.43x = 4,948.99
  5. Step 5: Solve for x
    x = 4,948.99/76.43
  6. Step 6: Final answer
    x = 64.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.