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Finding the Fourth Proportional to 56.21, 84.31 and 15.63

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Solution

The fourth proportional to 56.21, 84.31 and 15.63 is: 23.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.21 : 84.31 = 15.63 : x
  2. Step 2: Convert to fraction form
    56.21/84.31 = 15.63/x
  3. Step 3: Cross multiply
    56.21x = 84.31 × 15.63
  4. Step 4: Simplify right side
    56.21x = 1,317.41
  5. Step 5: Solve for x
    x = 1,317.41/56.21
  6. Step 6: Final answer
    x = 23.44

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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.