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Finding the Fourth Proportional to 68.16, 93.84 and 61.68

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Solution

The fourth proportional to 68.16, 93.84 and 61.68 is: 84.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.16 : 93.84 = 61.68 : x
  2. Step 2: Convert to fraction form
    68.16/93.84 = 61.68/x
  3. Step 3: Cross multiply
    68.16x = 93.84 × 61.68
  4. Step 4: Simplify right side
    68.16x = 5,788.05
  5. Step 5: Solve for x
    x = 5,788.05/68.16
  6. Step 6: Final answer
    x = 84.92

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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.