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Finding the Fourth Proportional to 68.20, 94.14 and 64.05

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Solution

The fourth proportional to 68.20, 94.14 and 64.05 is: 88.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.20 : 94.14 = 64.05 : x
  2. Step 2: Convert to fraction form
    68.20/94.14 = 64.05/x
  3. Step 3: Cross multiply
    68.20x = 94.14 × 64.05
  4. Step 4: Simplify right side
    68.20x = 6,029.67
  5. Step 5: Solve for x
    x = 6,029.67/68.20
  6. Step 6: Final answer
    x = 88.41

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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.