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Finding the Fourth Proportional to 130.84, 196.14 and 73.09

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Solution

The fourth proportional to 130.84, 196.14 and 73.09 is: 109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.84 : 196.14 = 73.09 : x
  2. Step 2: Convert to fraction form
    130.84/196.14 = 73.09/x
  3. Step 3: Cross multiply
    130.84x = 196.14 × 73.09
  4. Step 4: Simplify right side
    130.84x = 14,336.21
  5. Step 5: Solve for x
    x = 14,336.21/130.84
  6. Step 6: Final answer
    x = 109.57

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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.