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Finding the Fourth Proportional to 94.10, 130.44 and 89.15

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Solution

The fourth proportional to 94.10, 130.44 and 89.15 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.10 : 130.44 = 89.15 : x
  2. Step 2: Convert to fraction form
    94.10/130.44 = 89.15/x
  3. Step 3: Cross multiply
    94.10x = 130.44 × 89.15
  4. Step 4: Simplify right side
    94.10x = 11,629.05
  5. Step 5: Solve for x
    x = 11,629.05/94.10
  6. Step 6: Final answer
    x = 123.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.