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Finding the Fourth Proportional to 46.83, 64.49 and 32.25

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Solution

The fourth proportional to 46.83, 64.49 and 32.25 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 64.49 = 32.25 : x
  2. Step 2: Convert to fraction form
    46.83/64.49 = 32.25/x
  3. Step 3: Cross multiply
    46.83x = 64.49 × 32.25
  4. Step 4: Simplify right side
    46.83x = 2,079.80
  5. Step 5: Solve for x
    x = 2,079.80/46.83
  6. Step 6: Final answer
    x = 44.41

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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.