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Finding the Fourth Proportional to 102.39, 141.32 and 83.93

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Solution

The fourth proportional to 102.39, 141.32 and 83.93 is: 115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.39 : 141.32 = 83.93 : x
  2. Step 2: Convert to fraction form
    102.39/141.32 = 83.93/x
  3. Step 3: Cross multiply
    102.39x = 141.32 × 83.93
  4. Step 4: Simplify right side
    102.39x = 11,860.92
  5. Step 5: Solve for x
    x = 11,860.92/102.39
  6. Step 6: Final answer
    x = 115.84

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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.