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Finding the Fourth Proportional to 156.36, 234.46 and 105

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Solution

The fourth proportional to 156.36, 234.46 and 105 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.46 = 105 : x
  2. Step 2: Convert to fraction form
    156.36/234.46 = 105/x
  3. Step 3: Cross multiply
    156.36x = 234.46 × 105
  4. Step 4: Simplify right side
    156.36x = 24,618.30
  5. Step 5: Solve for x
    x = 24,618.30/156.36
  6. Step 6: Final answer
    x = 157.45

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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.