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Finding the Fourth Proportional to 46.48, 64.16 and 32.71

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Solution

The fourth proportional to 46.48, 64.16 and 32.71 is: 45.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.48 : 64.16 = 32.71 : x
  2. Step 2: Convert to fraction form
    46.48/64.16 = 32.71/x
  3. Step 3: Cross multiply
    46.48x = 64.16 × 32.71
  4. Step 4: Simplify right side
    46.48x = 2,098.67
  5. Step 5: Solve for x
    x = 2,098.67/46.48
  6. Step 6: Final answer
    x = 45.15

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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.