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Finding the Fourth Proportional to 103.02, 142.14 and 75.48

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Solution

The fourth proportional to 103.02, 142.14 and 75.48 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 142.14 = 75.48 : x
  2. Step 2: Convert to fraction form
    103.02/142.14 = 75.48/x
  3. Step 3: Cross multiply
    103.02x = 142.14 × 75.48
  4. Step 4: Simplify right side
    103.02x = 10,728.73
  5. Step 5: Solve for x
    x = 10,728.73/103.02
  6. Step 6: Final answer
    x = 104.14

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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.