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Finding the Fourth Proportional to 68.88, 102.54 and 61.68

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Solution

The fourth proportional to 68.88, 102.54 and 61.68 is: 91.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 102.54 = 61.68 : x
  2. Step 2: Convert to fraction form
    68.88/102.54 = 61.68/x
  3. Step 3: Cross multiply
    68.88x = 102.54 × 61.68
  4. Step 4: Simplify right side
    68.88x = 6,324.67
  5. Step 5: Solve for x
    x = 6,324.67/68.88
  6. Step 6: Final answer
    x = 91.82

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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.