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Finding the Fourth Proportional to 100.63, 138.62 and 76.04

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Solution

The fourth proportional to 100.63, 138.62 and 76.04 is: 104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.63 : 138.62 = 76.04 : x
  2. Step 2: Convert to fraction form
    100.63/138.62 = 76.04/x
  3. Step 3: Cross multiply
    100.63x = 138.62 × 76.04
  4. Step 4: Simplify right side
    100.63x = 10,539.59
  5. Step 5: Solve for x
    x = 10,539.59/100.63
  6. Step 6: Final answer
    x = 104.74

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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.