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Finding the Fourth Proportional to 45.82, 68.56 and 28.70

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Solution

The fourth proportional to 45.82, 68.56 and 28.70 is: 42.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.82 : 68.56 = 28.70 : x
  2. Step 2: Convert to fraction form
    45.82/68.56 = 28.70/x
  3. Step 3: Cross multiply
    45.82x = 68.56 × 28.70
  4. Step 4: Simplify right side
    45.82x = 1,968.06
  5. Step 5: Solve for x
    x = 1,968.06/45.82
  6. Step 6: Final answer
    x = 42.96

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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.