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Finding the Fourth Proportional to 103.44, 156.06 and 100.56

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Solution

The fourth proportional to 103.44, 156.06 and 100.56 is: 151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.44 : 156.06 = 100.56 : x
  2. Step 2: Convert to fraction form
    103.44/156.06 = 100.56/x
  3. Step 3: Cross multiply
    103.44x = 156.06 × 100.56
  4. Step 4: Simplify right side
    103.44x = 15,693.39
  5. Step 5: Solve for x
    x = 15,693.39/103.44
  6. Step 6: Final answer
    x = 151.71

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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.