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Finding the Fourth Proportional to 103.66, 142.09 and 103.48

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Solution

The fourth proportional to 103.66, 142.09 and 103.48 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 142.09 = 103.48 : x
  2. Step 2: Convert to fraction form
    103.66/142.09 = 103.48/x
  3. Step 3: Cross multiply
    103.66x = 142.09 × 103.48
  4. Step 4: Simplify right side
    103.66x = 14,703.47
  5. Step 5: Solve for x
    x = 14,703.47/103.66
  6. Step 6: Final answer
    x = 141.84

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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.