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Finding the Fourth Proportional to 101.66, 139.37 and 99.84

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Solution

The fourth proportional to 101.66, 139.37 and 99.84 is: 136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 139.37 = 99.84 : x
  2. Step 2: Convert to fraction form
    101.66/139.37 = 99.84/x
  3. Step 3: Cross multiply
    101.66x = 139.37 × 99.84
  4. Step 4: Simplify right side
    101.66x = 13,914.00
  5. Step 5: Solve for x
    x = 13,914.00/101.66
  6. Step 6: Final answer
    x = 136.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.