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Finding the Fourth Proportional to 64.68, 96.68 and 51.68

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Solution

The fourth proportional to 64.68, 96.68 and 51.68 is: 77.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.68 : 96.68 = 51.68 : x
  2. Step 2: Convert to fraction form
    64.68/96.68 = 51.68/x
  3. Step 3: Cross multiply
    64.68x = 96.68 × 51.68
  4. Step 4: Simplify right side
    64.68x = 4,996.42
  5. Step 5: Solve for x
    x = 4,996.42/64.68
  6. Step 6: Final answer
    x = 77.25

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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.