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Finding the Fourth Proportional to 189.46, 284.05 and 91.91

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Solution

The fourth proportional to 189.46, 284.05 and 91.91 is: 137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.46 : 284.05 = 91.91 : x
  2. Step 2: Convert to fraction form
    189.46/284.05 = 91.91/x
  3. Step 3: Cross multiply
    189.46x = 284.05 × 91.91
  4. Step 4: Simplify right side
    189.46x = 26,106.58
  5. Step 5: Solve for x
    x = 26,106.58/189.46
  6. Step 6: Final answer
    x = 137.79

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