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Finding the Fourth Proportional to 101.94, 152.82 and 83.94

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Solution

The fourth proportional to 101.94, 152.82 and 83.94 is: 125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.94 : 152.82 = 83.94 : x
  2. Step 2: Convert to fraction form
    101.94/152.82 = 83.94/x
  3. Step 3: Cross multiply
    101.94x = 152.82 × 83.94
  4. Step 4: Simplify right side
    101.94x = 12,827.71
  5. Step 5: Solve for x
    x = 12,827.71/101.94
  6. Step 6: Final answer
    x = 125.84

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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.