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Finding the Fourth Proportional to 64.65, 96.99 and 34.14

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Solution

The fourth proportional to 64.65, 96.99 and 34.14 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.65 : 96.99 = 34.14 : x
  2. Step 2: Convert to fraction form
    64.65/96.99 = 34.14/x
  3. Step 3: Cross multiply
    64.65x = 96.99 × 34.14
  4. Step 4: Simplify right side
    64.65x = 3,311.24
  5. Step 5: Solve for x
    x = 3,311.24/64.65
  6. Step 6: Final answer
    x = 51.22

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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.