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Finding the Fourth Proportional to 56.13, 84.22 and 23.63

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Solution

The fourth proportional to 56.13, 84.22 and 23.63 is: 35.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 84.22 = 23.63 : x
  2. Step 2: Convert to fraction form
    56.13/84.22 = 23.63/x
  3. Step 3: Cross multiply
    56.13x = 84.22 × 23.63
  4. Step 4: Simplify right side
    56.13x = 1,989.77
  5. Step 5: Solve for x
    x = 1,989.77/56.13
  6. Step 6: Final answer
    x = 35.45

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Why These Related Problems?

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