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Finding the Fourth Proportional to 100.16, 138.08 and 83.84

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Solution

The fourth proportional to 100.16, 138.08 and 83.84 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.16 : 138.08 = 83.84 : x
  2. Step 2: Convert to fraction form
    100.16/138.08 = 83.84/x
  3. Step 3: Cross multiply
    100.16x = 138.08 × 83.84
  4. Step 4: Simplify right side
    100.16x = 11,576.63
  5. Step 5: Solve for x
    x = 11,576.63/100.16
  6. Step 6: Final answer
    x = 115.58

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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.