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Finding the Fourth Proportional to 102.16, 141.06 and 83.80

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Solution

The fourth proportional to 102.16, 141.06 and 83.80 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.16 : 141.06 = 83.80 : x
  2. Step 2: Convert to fraction form
    102.16/141.06 = 83.80/x
  3. Step 3: Cross multiply
    102.16x = 141.06 × 83.80
  4. Step 4: Simplify right side
    102.16x = 11,820.83
  5. Step 5: Solve for x
    x = 11,820.83/102.16
  6. Step 6: Final answer
    x = 115.71

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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.