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Finding the Fourth Proportional to 101.93, 139.71 and 101.22

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Solution

The fourth proportional to 101.93, 139.71 and 101.22 is: 138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 139.71 = 101.22 : x
  2. Step 2: Convert to fraction form
    101.93/139.71 = 101.22/x
  3. Step 3: Cross multiply
    101.93x = 139.71 × 101.22
  4. Step 4: Simplify right side
    101.93x = 14,141.30
  5. Step 5: Solve for x
    x = 14,141.30/101.93
  6. Step 6: Final answer
    x = 138.74

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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.