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Finding the Fourth Proportional to 46.96, 64.78 and 31.42

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Solution

The fourth proportional to 46.96, 64.78 and 31.42 is: 43.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.96 : 64.78 = 31.42 : x
  2. Step 2: Convert to fraction form
    46.96/64.78 = 31.42/x
  3. Step 3: Cross multiply
    46.96x = 64.78 × 31.42
  4. Step 4: Simplify right side
    46.96x = 2,035.57
  5. Step 5: Solve for x
    x = 2,035.57/46.96
  6. Step 6: Final answer
    x = 43.34

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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.