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Finding the Fourth Proportional to 114.94, 158.91 and 106.78

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Solution

The fourth proportional to 114.94, 158.91 and 106.78 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 158.91 = 106.78 : x
  2. Step 2: Convert to fraction form
    114.94/158.91 = 106.78/x
  3. Step 3: Cross multiply
    114.94x = 158.91 × 106.78
  4. Step 4: Simplify right side
    114.94x = 16,968.41
  5. Step 5: Solve for x
    x = 16,968.41/114.94
  6. Step 6: Final answer
    x = 147.63

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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.