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Finding the Fourth Proportional to 68.06, 93.87 and 61.46

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Solution

The fourth proportional to 68.06, 93.87 and 61.46 is: 84.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 93.87 = 61.46 : x
  2. Step 2: Convert to fraction form
    68.06/93.87 = 61.46/x
  3. Step 3: Cross multiply
    68.06x = 93.87 × 61.46
  4. Step 4: Simplify right side
    68.06x = 5,769.02
  5. Step 5: Solve for x
    x = 5,769.02/68.06
  6. Step 6: Final answer
    x = 84.77

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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.