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Finding the Fourth Proportional to 53.52, 80.16 and 52.16

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Solution

The fourth proportional to 53.52, 80.16 and 52.16 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 80.16 = 52.16 : x
  2. Step 2: Convert to fraction form
    53.52/80.16 = 52.16/x
  3. Step 3: Cross multiply
    53.52x = 80.16 × 52.16
  4. Step 4: Simplify right side
    53.52x = 4,181.15
  5. Step 5: Solve for x
    x = 4,181.15/53.52
  6. Step 6: Final answer
    x = 78.12

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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.