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Finding the Fourth Proportional to 68.37, 102.66 and 60.81

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Solution

The fourth proportional to 68.37, 102.66 and 60.81 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.37 : 102.66 = 60.81 : x
  2. Step 2: Convert to fraction form
    68.37/102.66 = 60.81/x
  3. Step 3: Cross multiply
    68.37x = 102.66 × 60.81
  4. Step 4: Simplify right side
    68.37x = 6,242.75
  5. Step 5: Solve for x
    x = 6,242.75/68.37
  6. Step 6: Final answer
    x = 91.31

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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.