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Finding the Fourth Proportional to 46.71, 64.46 and 32.13

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Solution

The fourth proportional to 46.71, 64.46 and 32.13 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.71 : 64.46 = 32.13 : x
  2. Step 2: Convert to fraction form
    46.71/64.46 = 32.13/x
  3. Step 3: Cross multiply
    46.71x = 64.46 × 32.13
  4. Step 4: Simplify right side
    46.71x = 2,070.94
  5. Step 5: Solve for x
    x = 2,070.94/46.71
  6. Step 6: Final answer
    x = 44.34

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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.