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Finding the Fourth Proportional to 100.65, 138.91 and 76.05

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Solution

The fourth proportional to 100.65, 138.91 and 76.05 is: 104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 138.91 = 76.05 : x
  2. Step 2: Convert to fraction form
    100.65/138.91 = 76.05/x
  3. Step 3: Cross multiply
    100.65x = 138.91 × 76.05
  4. Step 4: Simplify right side
    100.65x = 10,563.92
  5. Step 5: Solve for x
    x = 10,563.92/100.65
  6. Step 6: Final answer
    x = 104.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.