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Finding the Fourth Proportional to 104.56, 156.88 and 76

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Solution

The fourth proportional to 104.56, 156.88 and 76 is: 114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.56 : 156.88 = 76 : x
  2. Step 2: Convert to fraction form
    104.56/156.88 = 76/x
  3. Step 3: Cross multiply
    104.56x = 156.88 × 76
  4. Step 4: Simplify right side
    104.56x = 11,922.88
  5. Step 5: Solve for x
    x = 11,922.88/104.56
  6. Step 6: Final answer
    x = 114.03

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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.