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Finding the Fourth Proportional to 69.42, 103.76 and 52.28

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Solution

The fourth proportional to 69.42, 103.76 and 52.28 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.42 : 103.76 = 52.28 : x
  2. Step 2: Convert to fraction form
    69.42/103.76 = 52.28/x
  3. Step 3: Cross multiply
    69.42x = 103.76 × 52.28
  4. Step 4: Simplify right side
    69.42x = 5,424.57
  5. Step 5: Solve for x
    x = 5,424.57/69.42
  6. Step 6: Final answer
    x = 78.14

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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.