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Finding the Fourth Proportional to 68.77, 102.48 and 66.82

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Solution

The fourth proportional to 68.77, 102.48 and 66.82 is: 99.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.77 : 102.48 = 66.82 : x
  2. Step 2: Convert to fraction form
    68.77/102.48 = 66.82/x
  3. Step 3: Cross multiply
    68.77x = 102.48 × 66.82
  4. Step 4: Simplify right side
    68.77x = 6,847.71
  5. Step 5: Solve for x
    x = 6,847.71/68.77
  6. Step 6: Final answer
    x = 99.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.