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Finding the Fourth Proportional to 103.59, 155.01 and 85.10

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Solution

The fourth proportional to 103.59, 155.01 and 85.10 is: 127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.59 : 155.01 = 85.10 : x
  2. Step 2: Convert to fraction form
    103.59/155.01 = 85.10/x
  3. Step 3: Cross multiply
    103.59x = 155.01 × 85.10
  4. Step 4: Simplify right side
    103.59x = 13,190.58
  5. Step 5: Solve for x
    x = 13,190.58/103.59
  6. Step 6: Final answer
    x = 127.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.