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Finding the Fourth Proportional to 45.77, 68.61 and 22.96

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Solution

The fourth proportional to 45.77, 68.61 and 22.96 is: 34.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.77 : 68.61 = 22.96 : x
  2. Step 2: Convert to fraction form
    45.77/68.61 = 22.96/x
  3. Step 3: Cross multiply
    45.77x = 68.61 × 22.96
  4. Step 4: Simplify right side
    45.77x = 1,575.29
  5. Step 5: Solve for x
    x = 1,575.29/45.77
  6. Step 6: Final answer
    x = 34.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.