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Finding the Fourth Proportional to 103.36, 141.76 and 100.96

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Solution

The fourth proportional to 103.36, 141.76 and 100.96 is: 138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 141.76 = 100.96 : x
  2. Step 2: Convert to fraction form
    103.36/141.76 = 100.96/x
  3. Step 3: Cross multiply
    103.36x = 141.76 × 100.96
  4. Step 4: Simplify right side
    103.36x = 14,312.09
  5. Step 5: Solve for x
    x = 14,312.09/103.36
  6. Step 6: Final answer
    x = 138.47

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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.