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Finding the Fourth Proportional to 46.63, 64.31 and 32.08

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Solution

The fourth proportional to 46.63, 64.31 and 32.08 is: 44.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 64.31 = 32.08 : x
  2. Step 2: Convert to fraction form
    46.63/64.31 = 32.08/x
  3. Step 3: Cross multiply
    46.63x = 64.31 × 32.08
  4. Step 4: Simplify right side
    46.63x = 2,062.74
  5. Step 5: Solve for x
    x = 2,062.74/46.63
  6. Step 6: Final answer
    x = 44.24

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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.