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Finding the Fourth Proportional to 68.66, 94.77 and 46.86

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Solution

The fourth proportional to 68.66, 94.77 and 46.86 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.66 : 94.77 = 46.86 : x
  2. Step 2: Convert to fraction form
    68.66/94.77 = 46.86/x
  3. Step 3: Cross multiply
    68.66x = 94.77 × 46.86
  4. Step 4: Simplify right side
    68.66x = 4,440.92
  5. Step 5: Solve for x
    x = 4,440.92/68.66
  6. Step 6: Final answer
    x = 64.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.