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Finding the Fourth Proportional to 103.51, 142.77 and 72.48

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Solution

The fourth proportional to 103.51, 142.77 and 72.48 is: 99.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.51 : 142.77 = 72.48 : x
  2. Step 2: Convert to fraction form
    103.51/142.77 = 72.48/x
  3. Step 3: Cross multiply
    103.51x = 142.77 × 72.48
  4. Step 4: Simplify right side
    103.51x = 10,347.97
  5. Step 5: Solve for x
    x = 10,347.97/103.51
  6. Step 6: Final answer
    x = 99.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.