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Finding the Fourth Proportional to 101.37, 139.73 and 73.71

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Solution

The fourth proportional to 101.37, 139.73 and 73.71 is: 101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.37 : 139.73 = 73.71 : x
  2. Step 2: Convert to fraction form
    101.37/139.73 = 73.71/x
  3. Step 3: Cross multiply
    101.37x = 139.73 × 73.71
  4. Step 4: Simplify right side
    101.37x = 10,299.13
  5. Step 5: Solve for x
    x = 10,299.13/101.37
  6. Step 6: Final answer
    x = 101.60

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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.