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Finding the Fourth Proportional to 56.61, 84.92 and 20.53

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Solution

The fourth proportional to 56.61, 84.92 and 20.53 is: 30.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.61 : 84.92 = 20.53 : x
  2. Step 2: Convert to fraction form
    56.61/84.92 = 20.53/x
  3. Step 3: Cross multiply
    56.61x = 84.92 × 20.53
  4. Step 4: Simplify right side
    56.61x = 1,743.41
  5. Step 5: Solve for x
    x = 1,743.41/56.61
  6. Step 6: Final answer
    x = 30.80

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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.