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Finding the Fourth Proportional to 189.60, 283.82 and 106.10

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Solution

The fourth proportional to 189.60, 283.82 and 106.10 is: 158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.60 : 283.82 = 106.10 : x
  2. Step 2: Convert to fraction form
    189.60/283.82 = 106.10/x
  3. Step 3: Cross multiply
    189.60x = 283.82 × 106.10
  4. Step 4: Simplify right side
    189.60x = 30,112.46
  5. Step 5: Solve for x
    x = 30,112.46/189.60
  6. Step 6: Final answer
    x = 158.82

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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.