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Finding the Fourth Proportional to 68.08, 101.94 and 61.60

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Solution

The fourth proportional to 68.08, 101.94 and 61.60 is: 92.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.08 : 101.94 = 61.60 : x
  2. Step 2: Convert to fraction form
    68.08/101.94 = 61.60/x
  3. Step 3: Cross multiply
    68.08x = 101.94 × 61.60
  4. Step 4: Simplify right side
    68.08x = 6,279.50
  5. Step 5: Solve for x
    x = 6,279.50/68.08
  6. Step 6: Final answer
    x = 92.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.