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Finding the Fourth Proportional to 189.56, 283.73 and 102.77

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Solution

The fourth proportional to 189.56, 283.73 and 102.77 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.56 : 283.73 = 102.77 : x
  2. Step 2: Convert to fraction form
    189.56/283.73 = 102.77/x
  3. Step 3: Cross multiply
    189.56x = 283.73 × 102.77
  4. Step 4: Simplify right side
    189.56x = 29,157.77
  5. Step 5: Solve for x
    x = 29,157.77/189.56
  6. Step 6: Final answer
    x = 153.82

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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.