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Finding the Fourth Proportional to 53.74, 80.52 and 21.64

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Solution

The fourth proportional to 53.74, 80.52 and 21.64 is: 32.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.74 : 80.52 = 21.64 : x
  2. Step 2: Convert to fraction form
    53.74/80.52 = 21.64/x
  3. Step 3: Cross multiply
    53.74x = 80.52 × 21.64
  4. Step 4: Simplify right side
    53.74x = 1,742.45
  5. Step 5: Solve for x
    x = 1,742.45/53.74
  6. Step 6: Final answer
    x = 32.42

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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.