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Finding the Fourth Proportional to 105.21, 145.04 and 83.39

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Solution

The fourth proportional to 105.21, 145.04 and 83.39 is: 114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 145.04 = 83.39 : x
  2. Step 2: Convert to fraction form
    105.21/145.04 = 83.39/x
  3. Step 3: Cross multiply
    105.21x = 145.04 × 83.39
  4. Step 4: Simplify right side
    105.21x = 12,093.74
  5. Step 5: Solve for x
    x = 12,093.74/105.21
  6. Step 6: Final answer
    x = 114.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.