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Finding the Fourth Proportional to 189.45, 283.88 and 73.76

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Solution

The fourth proportional to 189.45, 283.88 and 73.76 is: 110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.45 : 283.88 = 73.76 : x
  2. Step 2: Convert to fraction form
    189.45/283.88 = 73.76/x
  3. Step 3: Cross multiply
    189.45x = 283.88 × 73.76
  4. Step 4: Simplify right side
    189.45x = 20,937.20
  5. Step 5: Solve for x
    x = 20,937.20/189.45
  6. Step 6: Final answer
    x = 110.52

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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.