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Finding the Fourth Proportional to 68.31, 93.59 and 62.14

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Solution

The fourth proportional to 68.31, 93.59 and 62.14 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.31 : 93.59 = 62.14 : x
  2. Step 2: Convert to fraction form
    68.31/93.59 = 62.14/x
  3. Step 3: Cross multiply
    68.31x = 93.59 × 62.14
  4. Step 4: Simplify right side
    68.31x = 5,815.68
  5. Step 5: Solve for x
    x = 5,815.68/68.31
  6. Step 6: Final answer
    x = 85.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.