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Finding the Fourth Proportional to 69.18, 102.93 and 68.96

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Solution

The fourth proportional to 69.18, 102.93 and 68.96 is: 102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.18 : 102.93 = 68.96 : x
  2. Step 2: Convert to fraction form
    69.18/102.93 = 68.96/x
  3. Step 3: Cross multiply
    69.18x = 102.93 × 68.96
  4. Step 4: Simplify right side
    69.18x = 7,097.54
  5. Step 5: Solve for x
    x = 7,097.54/69.18
  6. Step 6: Final answer
    x = 102.60

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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.