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Finding the Fourth Proportional to 100.10, 137.99 and 79.29

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Solution

The fourth proportional to 100.10, 137.99 and 79.29 is: 109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.10 : 137.99 = 79.29 : x
  2. Step 2: Convert to fraction form
    100.10/137.99 = 79.29/x
  3. Step 3: Cross multiply
    100.10x = 137.99 × 79.29
  4. Step 4: Simplify right side
    100.10x = 10,941.43
  5. Step 5: Solve for x
    x = 10,941.43/100.10
  6. Step 6: Final answer
    x = 109.30

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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.