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Finding the Fourth Proportional to 69.93, 97.11 and 68.00

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Solution

The fourth proportional to 69.93, 97.11 and 68.00 is: 94.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.93 : 97.11 = 68.00 : x
  2. Step 2: Convert to fraction form
    69.93/97.11 = 68.00/x
  3. Step 3: Cross multiply
    69.93x = 97.11 × 68.00
  4. Step 4: Simplify right side
    69.93x = 6,602.99
  5. Step 5: Solve for x
    x = 6,602.99/69.93
  6. Step 6: Final answer
    x = 94.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.