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Finding the Fourth Proportional to 104.32, 156.46 and 84.28

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Solution

The fourth proportional to 104.32, 156.46 and 84.28 is: 126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.32 : 156.46 = 84.28 : x
  2. Step 2: Convert to fraction form
    104.32/156.46 = 84.28/x
  3. Step 3: Cross multiply
    104.32x = 156.46 × 84.28
  4. Step 4: Simplify right side
    104.32x = 13,186.45
  5. Step 5: Solve for x
    x = 13,186.45/104.32
  6. Step 6: Final answer
    x = 126.40

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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.