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Finding the Fourth Proportional to 155.94, 215.39 and 114.43

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Solution

The fourth proportional to 155.94, 215.39 and 114.43 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 215.39 = 114.43 : x
  2. Step 2: Convert to fraction form
    155.94/215.39 = 114.43/x
  3. Step 3: Cross multiply
    155.94x = 215.39 × 114.43
  4. Step 4: Simplify right side
    155.94x = 24,647.08
  5. Step 5: Solve for x
    x = 24,647.08/155.94
  6. Step 6: Final answer
    x = 158.05

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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.