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Finding the Fourth Proportional to 55.09, 82.34 and 53.74

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Solution

The fourth proportional to 55.09, 82.34 and 53.74 is: 80.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.09 : 82.34 = 53.74 : x
  2. Step 2: Convert to fraction form
    55.09/82.34 = 53.74/x
  3. Step 3: Cross multiply
    55.09x = 82.34 × 53.74
  4. Step 4: Simplify right side
    55.09x = 4,424.95
  5. Step 5: Solve for x
    x = 4,424.95/55.09
  6. Step 6: Final answer
    x = 80.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.