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Finding the Fourth Proportional to 154.95, 214.01 and 105.75

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Solution

The fourth proportional to 154.95, 214.01 and 105.75 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.95 : 214.01 = 105.75 : x
  2. Step 2: Convert to fraction form
    154.95/214.01 = 105.75/x
  3. Step 3: Cross multiply
    154.95x = 214.01 × 105.75
  4. Step 4: Simplify right side
    154.95x = 22,631.56
  5. Step 5: Solve for x
    x = 22,631.56/154.95
  6. Step 6: Final answer
    x = 146.06

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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.