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Finding the Fourth Proportional to 103.09, 154.50 and 42.13

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Solution

The fourth proportional to 103.09, 154.50 and 42.13 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 154.50 = 42.13 : x
  2. Step 2: Convert to fraction form
    103.09/154.50 = 42.13/x
  3. Step 3: Cross multiply
    103.09x = 154.50 × 42.13
  4. Step 4: Simplify right side
    103.09x = 6,509.09
  5. Step 5: Solve for x
    x = 6,509.09/103.09
  6. Step 6: Final answer
    x = 63.14

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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.