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Finding the Fourth Proportional to 53.53, 80.94 and 53.53

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Solution

The fourth proportional to 53.53, 80.94 and 53.53 is: 80.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 80.94 = 53.53 : x
  2. Step 2: Convert to fraction form
    53.53/80.94 = 53.53/x
  3. Step 3: Cross multiply
    53.53x = 80.94 × 53.53
  4. Step 4: Simplify right side
    53.53x = 4,332.72
  5. Step 5: Solve for x
    x = 4,332.72/53.53
  6. Step 6: Final answer
    x = 80.94

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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.