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Finding the Fourth Proportional to 53.06, 80.07 and 51.25

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Solution

The fourth proportional to 53.06, 80.07 and 51.25 is: 77.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 80.07 = 51.25 : x
  2. Step 2: Convert to fraction form
    53.06/80.07 = 51.25/x
  3. Step 3: Cross multiply
    53.06x = 80.07 × 51.25
  4. Step 4: Simplify right side
    53.06x = 4,103.26
  5. Step 5: Solve for x
    x = 4,103.26/53.06
  6. Step 6: Final answer
    x = 77.34

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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.