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Finding the Fourth Proportional to 45.42, 68.00 and 41.78

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Solution

The fourth proportional to 45.42, 68.00 and 41.78 is: 62.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.42 : 68.00 = 41.78 : x
  2. Step 2: Convert to fraction form
    45.42/68.00 = 41.78/x
  3. Step 3: Cross multiply
    45.42x = 68.00 × 41.78
  4. Step 4: Simplify right side
    45.42x = 2,840.49
  5. Step 5: Solve for x
    x = 2,840.49/45.42
  6. Step 6: Final answer
    x = 62.54

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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.