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Finding the Fourth Proportional to 101.06, 139.41 and 76.50

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Solution

The fourth proportional to 101.06, 139.41 and 76.50 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 139.41 = 76.50 : x
  2. Step 2: Convert to fraction form
    101.06/139.41 = 76.50/x
  3. Step 3: Cross multiply
    101.06x = 139.41 × 76.50
  4. Step 4: Simplify right side
    101.06x = 10,664.87
  5. Step 5: Solve for x
    x = 10,664.87/101.06
  6. Step 6: Final answer
    x = 105.53

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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.