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Finding the Fourth Proportional to 64.88, 96.94 and 51.21

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Solution

The fourth proportional to 64.88, 96.94 and 51.21 is: 76.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 96.94 = 51.21 : x
  2. Step 2: Convert to fraction form
    64.88/96.94 = 51.21/x
  3. Step 3: Cross multiply
    64.88x = 96.94 × 51.21
  4. Step 4: Simplify right side
    64.88x = 4,964.30
  5. Step 5: Solve for x
    x = 4,964.30/64.88
  6. Step 6: Final answer
    x = 76.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.