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Finding the Fourth Proportional to 64.30, 96.94 and 63.76

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Solution

The fourth proportional to 64.30, 96.94 and 63.76 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 96.94 = 63.76 : x
  2. Step 2: Convert to fraction form
    64.30/96.94 = 63.76/x
  3. Step 3: Cross multiply
    64.30x = 96.94 × 63.76
  4. Step 4: Simplify right side
    64.30x = 6,180.89
  5. Step 5: Solve for x
    x = 6,180.89/64.30
  6. Step 6: Final answer
    x = 96.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.