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Finding the Fourth Proportional to 89.81, 133.74 and 84.18

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Solution

The fourth proportional to 89.81, 133.74 and 84.18 is: 125.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.81 : 133.74 = 84.18 : x
  2. Step 2: Convert to fraction form
    89.81/133.74 = 84.18/x
  3. Step 3: Cross multiply
    89.81x = 133.74 × 84.18
  4. Step 4: Simplify right side
    89.81x = 11,258.23
  5. Step 5: Solve for x
    x = 11,258.23/89.81
  6. Step 6: Final answer
    x = 125.36

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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.