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Finding the Fourth Proportional to 104.81, 145.65 and 103.52

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Solution

The fourth proportional to 104.81, 145.65 and 103.52 is: 143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.81 : 145.65 = 103.52 : x
  2. Step 2: Convert to fraction form
    104.81/145.65 = 103.52/x
  3. Step 3: Cross multiply
    104.81x = 145.65 × 103.52
  4. Step 4: Simplify right side
    104.81x = 15,076.96
  5. Step 5: Solve for x
    x = 15,076.96/104.81
  6. Step 6: Final answer
    x = 143.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.