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Finding the Fourth Proportional to 89.94, 135.59 and 84.07

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Solution

The fourth proportional to 89.94, 135.59 and 84.07 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 135.59 = 84.07 : x
  2. Step 2: Convert to fraction form
    89.94/135.59 = 84.07/x
  3. Step 3: Cross multiply
    89.94x = 135.59 × 84.07
  4. Step 4: Simplify right side
    89.94x = 11,399.05
  5. Step 5: Solve for x
    x = 11,399.05/89.94
  6. Step 6: Final answer
    x = 126.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.