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Finding the Fourth Proportional to 103.20, 147.69 and 103.20

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Solution

The fourth proportional to 103.20, 147.69 and 103.20 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.20 : 147.69 = 103.20 : x
  2. Step 2: Convert to fraction form
    103.20/147.69 = 103.20/x
  3. Step 3: Cross multiply
    103.20x = 147.69 × 103.20
  4. Step 4: Simplify right side
    103.20x = 15,241.61
  5. Step 5: Solve for x
    x = 15,241.61/103.20
  6. Step 6: Final answer
    x = 147.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.