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Finding the Fourth Proportional to 101.97, 141.65 and 99.09

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Solution

The fourth proportional to 101.97, 141.65 and 99.09 is: 137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.97 : 141.65 = 99.09 : x
  2. Step 2: Convert to fraction form
    101.97/141.65 = 99.09/x
  3. Step 3: Cross multiply
    101.97x = 141.65 × 99.09
  4. Step 4: Simplify right side
    101.97x = 14,035.60
  5. Step 5: Solve for x
    x = 14,035.60/101.97
  6. Step 6: Final answer
    x = 137.64

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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.