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Finding the Fourth Proportional to 100, 137.09 and 94.60

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Solution

The fourth proportional to 100, 137.09 and 94.60 is: 129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 137.09 = 94.60 : x
  2. Step 2: Convert to fraction form
    100/137.09 = 94.60/x
  3. Step 3: Cross multiply
    100x = 137.09 × 94.60
  4. Step 4: Simplify right side
    100x = 12,968.71
  5. Step 5: Solve for x
    x = 12,968.71/100
  6. Step 6: Final answer
    x = 129.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.