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Finding the Fourth Proportional to 94.36, 130.18 and 83.40

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Solution

The fourth proportional to 94.36, 130.18 and 83.40 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.36 : 130.18 = 83.40 : x
  2. Step 2: Convert to fraction form
    94.36/130.18 = 83.40/x
  3. Step 3: Cross multiply
    94.36x = 130.18 × 83.40
  4. Step 4: Simplify right side
    94.36x = 10,857.01
  5. Step 5: Solve for x
    x = 10,857.01/94.36
  6. Step 6: Final answer
    x = 115.06

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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.