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Finding the Fourth Proportional to 56.24, 77.60 and 31.68

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Solution

The fourth proportional to 56.24, 77.60 and 31.68 is: 43.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 77.60 = 31.68 : x
  2. Step 2: Convert to fraction form
    56.24/77.60 = 31.68/x
  3. Step 3: Cross multiply
    56.24x = 77.60 × 31.68
  4. Step 4: Simplify right side
    56.24x = 2,458.37
  5. Step 5: Solve for x
    x = 2,458.37/56.24
  6. Step 6: Final answer
    x = 43.71

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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.