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Finding the Fourth Proportional to 75.10, 111.93 and 72.94

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Solution

The fourth proportional to 75.10, 111.93 and 72.94 is: 108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.10 : 111.93 = 72.94 : x
  2. Step 2: Convert to fraction form
    75.10/111.93 = 72.94/x
  3. Step 3: Cross multiply
    75.10x = 111.93 × 72.94
  4. Step 4: Simplify right side
    75.10x = 8,164.17
  5. Step 5: Solve for x
    x = 8,164.17/75.10
  6. Step 6: Final answer
    x = 108.71

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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.