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Finding the Fourth Proportional to 102.01, 140.64 and 83.56

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Solution

The fourth proportional to 102.01, 140.64 and 83.56 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 140.64 = 83.56 : x
  2. Step 2: Convert to fraction form
    102.01/140.64 = 83.56/x
  3. Step 3: Cross multiply
    102.01x = 140.64 × 83.56
  4. Step 4: Simplify right side
    102.01x = 11,751.88
  5. Step 5: Solve for x
    x = 11,751.88/102.01
  6. Step 6: Final answer
    x = 115.20

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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.