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Finding the Fourth Proportional to 155.45, 214.41 and 106.25

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Solution

The fourth proportional to 155.45, 214.41 and 106.25 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.45 : 214.41 = 106.25 : x
  2. Step 2: Convert to fraction form
    155.45/214.41 = 106.25/x
  3. Step 3: Cross multiply
    155.45x = 214.41 × 106.25
  4. Step 4: Simplify right side
    155.45x = 22,779.99
  5. Step 5: Solve for x
    x = 22,779.99/155.45
  6. Step 6: Final answer
    x = 146.55

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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.