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Finding the Fourth Proportional to 103.02, 155.63 and 102.12

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Solution

The fourth proportional to 103.02, 155.63 and 102.12 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 155.63 = 102.12 : x
  2. Step 2: Convert to fraction form
    103.02/155.63 = 102.12/x
  3. Step 3: Cross multiply
    103.02x = 155.63 × 102.12
  4. Step 4: Simplify right side
    103.02x = 15,892.94
  5. Step 5: Solve for x
    x = 15,892.94/103.02
  6. Step 6: Final answer
    x = 154.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.