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Finding the Fourth Proportional to 64.14, 96.17 and 31.65

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Solution

The fourth proportional to 64.14, 96.17 and 31.65 is: 47.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.14 : 96.17 = 31.65 : x
  2. Step 2: Convert to fraction form
    64.14/96.17 = 31.65/x
  3. Step 3: Cross multiply
    64.14x = 96.17 × 31.65
  4. Step 4: Simplify right side
    64.14x = 3,044.02
  5. Step 5: Solve for x
    x = 3,044.02/64.14
  6. Step 6: Final answer
    x = 47.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.