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Finding the Fourth Proportional to 101.70, 139.25 and 101.34

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Solution

The fourth proportional to 101.70, 139.25 and 101.34 is: 138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 139.25 = 101.34 : x
  2. Step 2: Convert to fraction form
    101.70/139.25 = 101.34/x
  3. Step 3: Cross multiply
    101.70x = 139.25 × 101.34
  4. Step 4: Simplify right side
    101.70x = 14,111.85
  5. Step 5: Solve for x
    x = 14,111.85/101.70
  6. Step 6: Final answer
    x = 138.76

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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.