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Finding the Fourth Proportional to 94.95, 130.94 and 78.55

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Solution

The fourth proportional to 94.95, 130.94 and 78.55 is: 108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.95 : 130.94 = 78.55 : x
  2. Step 2: Convert to fraction form
    94.95/130.94 = 78.55/x
  3. Step 3: Cross multiply
    94.95x = 130.94 × 78.55
  4. Step 4: Simplify right side
    94.95x = 10,284.68
  5. Step 5: Solve for x
    x = 10,284.68/94.95
  6. Step 6: Final answer
    x = 108.32

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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.