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Finding the Fourth Proportional to 103.07, 141.31 and 101.22

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Solution

The fourth proportional to 103.07, 141.31 and 101.22 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 141.31 = 101.22 : x
  2. Step 2: Convert to fraction form
    103.07/141.31 = 101.22/x
  3. Step 3: Cross multiply
    103.07x = 141.31 × 101.22
  4. Step 4: Simplify right side
    103.07x = 14,303.15
  5. Step 5: Solve for x
    x = 14,303.15/103.07
  6. Step 6: Final answer
    x = 138.78

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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.