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Finding the Fourth Proportional to 46.43, 64.06 and 27.02

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Solution

The fourth proportional to 46.43, 64.06 and 27.02 is: 37.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.43 : 64.06 = 27.02 : x
  2. Step 2: Convert to fraction form
    46.43/64.06 = 27.02/x
  3. Step 3: Cross multiply
    46.43x = 64.06 × 27.02
  4. Step 4: Simplify right side
    46.43x = 1,730.90
  5. Step 5: Solve for x
    x = 1,730.90/46.43
  6. Step 6: Final answer
    x = 37.28

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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.