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Finding the Fourth Proportional to 84.94, 116.47 and 84.67

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Solution

The fourth proportional to 84.94, 116.47 and 84.67 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.94 : 116.47 = 84.67 : x
  2. Step 2: Convert to fraction form
    84.94/116.47 = 84.67/x
  3. Step 3: Cross multiply
    84.94x = 116.47 × 84.67
  4. Step 4: Simplify right side
    84.94x = 9,861.51
  5. Step 5: Solve for x
    x = 9,861.51/84.94
  6. Step 6: Final answer
    x = 116.10

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Why These Related Problems?

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