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Finding the Fourth Proportional to 64.17, 96.15 and 31.65

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Solution

The fourth proportional to 64.17, 96.15 and 31.65 is: 47.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.17 : 96.15 = 31.65 : x
  2. Step 2: Convert to fraction form
    64.17/96.15 = 31.65/x
  3. Step 3: Cross multiply
    64.17x = 96.15 × 31.65
  4. Step 4: Simplify right side
    64.17x = 3,043.15
  5. Step 5: Solve for x
    x = 3,043.15/64.17
  6. Step 6: Final answer
    x = 47.42

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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.