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Finding the Fourth Proportional to 189.34, 284.05 and 91.89

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Solution

The fourth proportional to 189.34, 284.05 and 91.89 is: 137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 284.05 = 91.89 : x
  2. Step 2: Convert to fraction form
    189.34/284.05 = 91.89/x
  3. Step 3: Cross multiply
    189.34x = 284.05 × 91.89
  4. Step 4: Simplify right side
    189.34x = 26,100.58
  5. Step 5: Solve for x
    x = 26,100.58/189.34
  6. Step 6: Final answer
    x = 137.85

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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.