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Finding the Fourth Proportional to 64.57, 96.78 and 34.16

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Solution

The fourth proportional to 64.57, 96.78 and 34.16 is: 51.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.57 : 96.78 = 34.16 : x
  2. Step 2: Convert to fraction form
    64.57/96.78 = 34.16/x
  3. Step 3: Cross multiply
    64.57x = 96.78 × 34.16
  4. Step 4: Simplify right side
    64.57x = 3,305.35
  5. Step 5: Solve for x
    x = 3,305.35/64.57
  6. Step 6: Final answer
    x = 51.19

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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.