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Finding the Fourth Proportional to 68.89, 102.62 and 65.56

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Solution

The fourth proportional to 68.89, 102.62 and 65.56 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.89 : 102.62 = 65.56 : x
  2. Step 2: Convert to fraction form
    68.89/102.62 = 65.56/x
  3. Step 3: Cross multiply
    68.89x = 102.62 × 65.56
  4. Step 4: Simplify right side
    68.89x = 6,727.77
  5. Step 5: Solve for x
    x = 6,727.77/68.89
  6. Step 6: Final answer
    x = 97.66

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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.