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Finding the Fourth Proportional to 94.57, 130.61 and 84.39

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Solution

The fourth proportional to 94.57, 130.61 and 84.39 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 130.61 = 84.39 : x
  2. Step 2: Convert to fraction form
    94.57/130.61 = 84.39/x
  3. Step 3: Cross multiply
    94.57x = 130.61 × 84.39
  4. Step 4: Simplify right side
    94.57x = 11,021.76
  5. Step 5: Solve for x
    x = 11,021.76/94.57
  6. Step 6: Final answer
    x = 116.55

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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.