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Finding the Fourth Proportional to 101.12, 139.66 and 84.58

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Solution

The fourth proportional to 101.12, 139.66 and 84.58 is: 116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.12 : 139.66 = 84.58 : x
  2. Step 2: Convert to fraction form
    101.12/139.66 = 84.58/x
  3. Step 3: Cross multiply
    101.12x = 139.66 × 84.58
  4. Step 4: Simplify right side
    101.12x = 11,811.88
  5. Step 5: Solve for x
    x = 11,811.88/101.12
  6. Step 6: Final answer
    x = 116.82

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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.