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Finding the Fourth Proportional to 45.86, 68.38 and 42.44

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Solution

The fourth proportional to 45.86, 68.38 and 42.44 is: 63.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.86 : 68.38 = 42.44 : x
  2. Step 2: Convert to fraction form
    45.86/68.38 = 42.44/x
  3. Step 3: Cross multiply
    45.86x = 68.38 × 42.44
  4. Step 4: Simplify right side
    45.86x = 2,901.60
  5. Step 5: Solve for x
    x = 2,901.60/45.86
  6. Step 6: Final answer
    x = 63.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.