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Finding the Fourth Proportional to 155.56, 214.73 and 106.45

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Solution

The fourth proportional to 155.56, 214.73 and 106.45 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.56 : 214.73 = 106.45 : x
  2. Step 2: Convert to fraction form
    155.56/214.73 = 106.45/x
  3. Step 3: Cross multiply
    155.56x = 214.73 × 106.45
  4. Step 4: Simplify right side
    155.56x = 22,858.01
  5. Step 5: Solve for x
    x = 22,858.01/155.56
  6. Step 6: Final answer
    x = 146.94

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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.