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Finding the Fourth Proportional to 46.99, 64.83 and 30.61

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Solution

The fourth proportional to 46.99, 64.83 and 30.61 is: 42.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 64.83 = 30.61 : x
  2. Step 2: Convert to fraction form
    46.99/64.83 = 30.61/x
  3. Step 3: Cross multiply
    46.99x = 64.83 × 30.61
  4. Step 4: Simplify right side
    46.99x = 1,984.35
  5. Step 5: Solve for x
    x = 1,984.35/46.99
  6. Step 6: Final answer
    x = 42.23

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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.