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Finding the Fourth Proportional to 103.68, 156.34 and 100.40

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Solution

The fourth proportional to 103.68, 156.34 and 100.40 is: 151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 156.34 = 100.40 : x
  2. Step 2: Convert to fraction form
    103.68/156.34 = 100.40/x
  3. Step 3: Cross multiply
    103.68x = 156.34 × 100.40
  4. Step 4: Simplify right side
    103.68x = 15,696.54
  5. Step 5: Solve for x
    x = 15,696.54/103.68
  6. Step 6: Final answer
    x = 151.39

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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.