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Finding the Fourth Proportional to 53.32, 80 and 21.26

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Solution

The fourth proportional to 53.32, 80 and 21.26 is: 31.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.32 : 80 = 21.26 : x
  2. Step 2: Convert to fraction form
    53.32/80 = 21.26/x
  3. Step 3: Cross multiply
    53.32x = 80 × 21.26
  4. Step 4: Simplify right side
    53.32x = 1,700.80
  5. Step 5: Solve for x
    x = 1,700.80/53.32
  6. Step 6: Final answer
    x = 31.90

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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.