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Finding the Fourth Proportional to 56.58, 77.81 and 49.29

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Solution

The fourth proportional to 56.58, 77.81 and 49.29 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.58 : 77.81 = 49.29 : x
  2. Step 2: Convert to fraction form
    56.58/77.81 = 49.29/x
  3. Step 3: Cross multiply
    56.58x = 77.81 × 49.29
  4. Step 4: Simplify right side
    56.58x = 3,835.01
  5. Step 5: Solve for x
    x = 3,835.01/56.58
  6. Step 6: Final answer
    x = 67.78

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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.