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Finding the Fourth Proportional to 68.24, 94.29 and 46.46

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Solution

The fourth proportional to 68.24, 94.29 and 46.46 is: 64.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.24 : 94.29 = 46.46 : x
  2. Step 2: Convert to fraction form
    68.24/94.29 = 46.46/x
  3. Step 3: Cross multiply
    68.24x = 94.29 × 46.46
  4. Step 4: Simplify right side
    68.24x = 4,380.71
  5. Step 5: Solve for x
    x = 4,380.71/68.24
  6. Step 6: Final answer
    x = 64.20

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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.