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Finding the Fourth Proportional to 102, 140.84 and 79.12

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Solution

The fourth proportional to 102, 140.84 and 79.12 is: 109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 140.84 = 79.12 : x
  2. Step 2: Convert to fraction form
    102/140.84 = 79.12/x
  3. Step 3: Cross multiply
    102x = 140.84 × 79.12
  4. Step 4: Simplify right side
    102x = 11,143.26
  5. Step 5: Solve for x
    x = 11,143.26/102
  6. Step 6: Final answer
    x = 109.25

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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.