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Finding the Fourth Proportional to 147.95, 221.77 and 55.33

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Solution

The fourth proportional to 147.95, 221.77 and 55.33 is: 82.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.95 : 221.77 = 55.33 : x
  2. Step 2: Convert to fraction form
    147.95/221.77 = 55.33/x
  3. Step 3: Cross multiply
    147.95x = 221.77 × 55.33
  4. Step 4: Simplify right side
    147.95x = 12,270.05
  5. Step 5: Solve for x
    x = 12,270.05/147.95
  6. Step 6: Final answer
    x = 82.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.