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Finding the Fourth Proportional to 101.41, 151.93 and 68.83

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Solution

The fourth proportional to 101.41, 151.93 and 68.83 is: 103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.41 : 151.93 = 68.83 : x
  2. Step 2: Convert to fraction form
    101.41/151.93 = 68.83/x
  3. Step 3: Cross multiply
    101.41x = 151.93 × 68.83
  4. Step 4: Simplify right side
    101.41x = 10,457.34
  5. Step 5: Solve for x
    x = 10,457.34/101.41
  6. Step 6: Final answer
    x = 103.12

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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.