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Finding the Fourth Proportional to 102.45, 140.20 and 101.37

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Solution

The fourth proportional to 102.45, 140.20 and 101.37 is: 138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.45 : 140.20 = 101.37 : x
  2. Step 2: Convert to fraction form
    102.45/140.20 = 101.37/x
  3. Step 3: Cross multiply
    102.45x = 140.20 × 101.37
  4. Step 4: Simplify right side
    102.45x = 14,212.07
  5. Step 5: Solve for x
    x = 14,212.07/102.45
  6. Step 6: Final answer
    x = 138.72

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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.