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Finding the Fourth Proportional to 94.86, 130.82 and 84.60

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Solution

The fourth proportional to 94.86, 130.82 and 84.60 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 130.82 = 84.60 : x
  2. Step 2: Convert to fraction form
    94.86/130.82 = 84.60/x
  3. Step 3: Cross multiply
    94.86x = 130.82 × 84.60
  4. Step 4: Simplify right side
    94.86x = 11,066.95
  5. Step 5: Solve for x
    x = 11,066.95/94.86
  6. Step 6: Final answer
    x = 116.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.