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Finding the Fourth Proportional to 102.06, 140.54 and 83.53

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Solution

The fourth proportional to 102.06, 140.54 and 83.53 is: 115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.06 : 140.54 = 83.53 : x
  2. Step 2: Convert to fraction form
    102.06/140.54 = 83.53/x
  3. Step 3: Cross multiply
    102.06x = 140.54 × 83.53
  4. Step 4: Simplify right side
    102.06x = 11,739.06
  5. Step 5: Solve for x
    x = 11,739.06/102.06
  6. Step 6: Final answer
    x = 115.02

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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.