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Finding the Fourth Proportional to 53.52, 80.28 and 32.13

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Solution

The fourth proportional to 53.52, 80.28 and 32.13 is: 48.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 80.28 = 32.13 : x
  2. Step 2: Convert to fraction form
    53.52/80.28 = 32.13/x
  3. Step 3: Cross multiply
    53.52x = 80.28 × 32.13
  4. Step 4: Simplify right side
    53.52x = 2,579.40
  5. Step 5: Solve for x
    x = 2,579.40/53.52
  6. Step 6: Final answer
    x = 48.20

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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.