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Finding the Fourth Proportional to 75.08, 111.88 and 72.08

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Solution

The fourth proportional to 75.08, 111.88 and 72.08 is: 107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 111.88 = 72.08 : x
  2. Step 2: Convert to fraction form
    75.08/111.88 = 72.08/x
  3. Step 3: Cross multiply
    75.08x = 111.88 × 72.08
  4. Step 4: Simplify right side
    75.08x = 8,064.31
  5. Step 5: Solve for x
    x = 8,064.31/75.08
  6. Step 6: Final answer
    x = 107.41

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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.