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Finding the Fourth Proportional to 103.84, 143.92 and 84.64

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Solution

The fourth proportional to 103.84, 143.92 and 84.64 is: 117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.84 : 143.92 = 84.64 : x
  2. Step 2: Convert to fraction form
    103.84/143.92 = 84.64/x
  3. Step 3: Cross multiply
    103.84x = 143.92 × 84.64
  4. Step 4: Simplify right side
    103.84x = 12,181.39
  5. Step 5: Solve for x
    x = 12,181.39/103.84
  6. Step 6: Final answer
    x = 117.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.