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Finding the Fourth Proportional to 156.75, 235.11 and 75.54

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Solution

The fourth proportional to 156.75, 235.11 and 75.54 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.75 : 235.11 = 75.54 : x
  2. Step 2: Convert to fraction form
    156.75/235.11 = 75.54/x
  3. Step 3: Cross multiply
    156.75x = 235.11 × 75.54
  4. Step 4: Simplify right side
    156.75x = 17,760.21
  5. Step 5: Solve for x
    x = 17,760.21/156.75
  6. Step 6: Final answer
    x = 113.30

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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.