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Finding the Fourth Proportional to 56.27, 84.31 and 31.77

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Solution

The fourth proportional to 56.27, 84.31 and 31.77 is: 47.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.27 : 84.31 = 31.77 : x
  2. Step 2: Convert to fraction form
    56.27/84.31 = 31.77/x
  3. Step 3: Cross multiply
    56.27x = 84.31 × 31.77
  4. Step 4: Simplify right side
    56.27x = 2,678.45
  5. Step 5: Solve for x
    x = 2,678.45/56.27
  6. Step 6: Final answer
    x = 47.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.