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Finding the Fourth Proportional to 69.68, 103.98 and 65.42

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Solution

The fourth proportional to 69.68, 103.98 and 65.42 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.68 : 103.98 = 65.42 : x
  2. Step 2: Convert to fraction form
    69.68/103.98 = 65.42/x
  3. Step 3: Cross multiply
    69.68x = 103.98 × 65.42
  4. Step 4: Simplify right side
    69.68x = 6,802.37
  5. Step 5: Solve for x
    x = 6,802.37/69.68
  6. Step 6: Final answer
    x = 97.62

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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.