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Finding the Fourth Proportional to 45.64, 68.42 and 29.56

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Solution

The fourth proportional to 45.64, 68.42 and 29.56 is: 44.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.64 : 68.42 = 29.56 : x
  2. Step 2: Convert to fraction form
    45.64/68.42 = 29.56/x
  3. Step 3: Cross multiply
    45.64x = 68.42 × 29.56
  4. Step 4: Simplify right side
    45.64x = 2,022.50
  5. Step 5: Solve for x
    x = 2,022.50/45.64
  6. Step 6: Final answer
    x = 44.31

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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.