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Finding the Fourth Proportional to 56.15, 77.41 and 49.62

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Solution

The fourth proportional to 56.15, 77.41 and 49.62 is: 68.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.15 : 77.41 = 49.62 : x
  2. Step 2: Convert to fraction form
    56.15/77.41 = 49.62/x
  3. Step 3: Cross multiply
    56.15x = 77.41 × 49.62
  4. Step 4: Simplify right side
    56.15x = 3,840.96
  5. Step 5: Solve for x
    x = 3,840.96/56.15
  6. Step 6: Final answer
    x = 68.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.