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Finding the Fourth Proportional to 147.93, 221.67 and 75.84

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Solution

The fourth proportional to 147.93, 221.67 and 75.84 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 221.67 = 75.84 : x
  2. Step 2: Convert to fraction form
    147.93/221.67 = 75.84/x
  3. Step 3: Cross multiply
    147.93x = 221.67 × 75.84
  4. Step 4: Simplify right side
    147.93x = 16,811.45
  5. Step 5: Solve for x
    x = 16,811.45/147.93
  6. Step 6: Final answer
    x = 113.64

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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.