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Finding the Fourth Proportional to 46.99, 64.85 and 31.46

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Solution

The fourth proportional to 46.99, 64.85 and 31.46 is: 43.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 64.85 = 31.46 : x
  2. Step 2: Convert to fraction form
    46.99/64.85 = 31.46/x
  3. Step 3: Cross multiply
    46.99x = 64.85 × 31.46
  4. Step 4: Simplify right side
    46.99x = 2,039.94
  5. Step 5: Solve for x
    x = 2,039.94/46.99
  6. Step 6: Final answer
    x = 43.41

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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.