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Finding the Fourth Proportional to 102.09, 152.39 and 89.94

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Solution

The fourth proportional to 102.09, 152.39 and 89.94 is: 134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 152.39 = 89.94 : x
  2. Step 2: Convert to fraction form
    102.09/152.39 = 89.94/x
  3. Step 3: Cross multiply
    102.09x = 152.39 × 89.94
  4. Step 4: Simplify right side
    102.09x = 13,705.73
  5. Step 5: Solve for x
    x = 13,705.73/102.09
  6. Step 6: Final answer
    x = 134.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.