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Finding the Fourth Proportional to 75.09, 112.66 and 54.48

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Solution

The fourth proportional to 75.09, 112.66 and 54.48 is: 81.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 112.66 = 54.48 : x
  2. Step 2: Convert to fraction form
    75.09/112.66 = 54.48/x
  3. Step 3: Cross multiply
    75.09x = 112.66 × 54.48
  4. Step 4: Simplify right side
    75.09x = 6,138.00
  5. Step 5: Solve for x
    x = 6,138.00/75.09
  6. Step 6: Final answer
    x = 81.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.