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Finding the Fourth Proportional to 104.10, 156.45 and 96.06

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Solution

The fourth proportional to 104.10, 156.45 and 96.06 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 156.45 = 96.06 : x
  2. Step 2: Convert to fraction form
    104.10/156.45 = 96.06/x
  3. Step 3: Cross multiply
    104.10x = 156.45 × 96.06
  4. Step 4: Simplify right side
    104.10x = 15,028.59
  5. Step 5: Solve for x
    x = 15,028.59/104.10
  6. Step 6: Final answer
    x = 144.37

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Why These Related Problems?

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