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Finding the Fourth Proportional to 104.18, 156.33 and 96.02

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Solution

The fourth proportional to 104.18, 156.33 and 96.02 is: 144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.18 : 156.33 = 96.02 : x
  2. Step 2: Convert to fraction form
    104.18/156.33 = 96.02/x
  3. Step 3: Cross multiply
    104.18x = 156.33 × 96.02
  4. Step 4: Simplify right side
    104.18x = 15,010.81
  5. Step 5: Solve for x
    x = 15,010.81/104.18
  6. Step 6: Final answer
    x = 144.09

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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.