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Finding the Fourth Proportional to 45.27, 68.42 and 45.27

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Solution

The fourth proportional to 45.27, 68.42 and 45.27 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.27 : 68.42 = 45.27 : x
  2. Step 2: Convert to fraction form
    45.27/68.42 = 45.27/x
  3. Step 3: Cross multiply
    45.27x = 68.42 × 45.27
  4. Step 4: Simplify right side
    45.27x = 3,097.49
  5. Step 5: Solve for x
    x = 3,097.49/45.27
  6. Step 6: Final answer
    x = 68.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.