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Finding the Fourth Proportional to 68.19, 94.14 and 47.55

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Solution

The fourth proportional to 68.19, 94.14 and 47.55 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 94.14 = 47.55 : x
  2. Step 2: Convert to fraction form
    68.19/94.14 = 47.55/x
  3. Step 3: Cross multiply
    68.19x = 94.14 × 47.55
  4. Step 4: Simplify right side
    68.19x = 4,476.36
  5. Step 5: Solve for x
    x = 4,476.36/68.19
  6. Step 6: Final answer
    x = 65.65

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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.