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Finding the Fourth Proportional to 101.64, 140.05 and 84.06

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Solution

The fourth proportional to 101.64, 140.05 and 84.06 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.64 : 140.05 = 84.06 : x
  2. Step 2: Convert to fraction form
    101.64/140.05 = 84.06/x
  3. Step 3: Cross multiply
    101.64x = 140.05 × 84.06
  4. Step 4: Simplify right side
    101.64x = 11,772.24
  5. Step 5: Solve for x
    x = 11,772.24/101.64
  6. Step 6: Final answer
    x = 115.82

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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.