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Finding the Fourth Proportional to 54.08, 75.05 and 51.88

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Solution

The fourth proportional to 54.08, 75.05 and 51.88 is: 72.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.08 : 75.05 = 51.88 : x
  2. Step 2: Convert to fraction form
    54.08/75.05 = 51.88/x
  3. Step 3: Cross multiply
    54.08x = 75.05 × 51.88
  4. Step 4: Simplify right side
    54.08x = 3,893.59
  5. Step 5: Solve for x
    x = 3,893.59/54.08
  6. Step 6: Final answer
    x = 72.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.