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Finding the Fourth Proportional to 46.97, 64.85 and 31.45

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Solution

The fourth proportional to 46.97, 64.85 and 31.45 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.97 : 64.85 = 31.45 : x
  2. Step 2: Convert to fraction form
    46.97/64.85 = 31.45/x
  3. Step 3: Cross multiply
    46.97x = 64.85 × 31.45
  4. Step 4: Simplify right side
    46.97x = 2,039.53
  5. Step 5: Solve for x
    x = 2,039.53/46.97
  6. Step 6: Final answer
    x = 43.42

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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.