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Finding the Fourth Proportional to 105.63, 145.78 and 66.83

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Solution

The fourth proportional to 105.63, 145.78 and 66.83 is: 92.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 145.78 = 66.83 : x
  2. Step 2: Convert to fraction form
    105.63/145.78 = 66.83/x
  3. Step 3: Cross multiply
    105.63x = 145.78 × 66.83
  4. Step 4: Simplify right side
    105.63x = 9,742.48
  5. Step 5: Solve for x
    x = 9,742.48/105.63
  6. Step 6: Final answer
    x = 92.23

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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.