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Finding the Fourth Proportional to 100.93, 151.53 and 68.34

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Solution

The fourth proportional to 100.93, 151.53 and 68.34 is: 102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.93 : 151.53 = 68.34 : x
  2. Step 2: Convert to fraction form
    100.93/151.53 = 68.34/x
  3. Step 3: Cross multiply
    100.93x = 151.53 × 68.34
  4. Step 4: Simplify right side
    100.93x = 10,355.56
  5. Step 5: Solve for x
    x = 10,355.56/100.93
  6. Step 6: Final answer
    x = 102.60

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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.