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Finding the Fourth Proportional to 105.66, 144.85 and 103.84

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Solution

The fourth proportional to 105.66, 144.85 and 103.84 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 144.85 = 103.84 : x
  2. Step 2: Convert to fraction form
    105.66/144.85 = 103.84/x
  3. Step 3: Cross multiply
    105.66x = 144.85 × 103.84
  4. Step 4: Simplify right side
    105.66x = 15,041.22
  5. Step 5: Solve for x
    x = 15,041.22/105.66
  6. Step 6: Final answer
    x = 142.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.