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Finding the Fourth Proportional to 69.42, 103.30 and 65.10

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Solution

The fourth proportional to 69.42, 103.30 and 65.10 is: 96.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 103.30 = 65.10 : x
  2. Step 2: Convert to fraction form
    69.42/103.30 = 65.10/x
  3. Step 3: Cross multiply
    69.42x = 103.30 × 65.10
  4. Step 4: Simplify right side
    69.42x = 6,724.83
  5. Step 5: Solve for x
    x = 6,724.83/69.42
  6. Step 6: Final answer
    x = 96.87

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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.