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Finding the Fourth Proportional to 53.72, 81.02 and 53.11

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Solution

The fourth proportional to 53.72, 81.02 and 53.11 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 81.02 = 53.11 : x
  2. Step 2: Convert to fraction form
    53.72/81.02 = 53.11/x
  3. Step 3: Cross multiply
    53.72x = 81.02 × 53.11
  4. Step 4: Simplify right side
    53.72x = 4,302.97
  5. Step 5: Solve for x
    x = 4,302.97/53.72
  6. Step 6: Final answer
    x = 80.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.