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Finding the Fourth Proportional to 103.77, 142.29 and 103.37

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Solution

The fourth proportional to 103.77, 142.29 and 103.37 is: 141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.77 : 142.29 = 103.37 : x
  2. Step 2: Convert to fraction form
    103.77/142.29 = 103.37/x
  3. Step 3: Cross multiply
    103.77x = 142.29 × 103.37
  4. Step 4: Simplify right side
    103.77x = 14,707.81
  5. Step 5: Solve for x
    x = 14,707.81/103.77
  6. Step 6: Final answer
    x = 141.73

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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.