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Finding the Fourth Proportional to 156.39, 234.27 and 102.12

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Solution

The fourth proportional to 156.39, 234.27 and 102.12 is: 152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.39 : 234.27 = 102.12 : x
  2. Step 2: Convert to fraction form
    156.39/234.27 = 102.12/x
  3. Step 3: Cross multiply
    156.39x = 234.27 × 102.12
  4. Step 4: Simplify right side
    156.39x = 23,923.65
  5. Step 5: Solve for x
    x = 23,923.65/156.39
  6. Step 6: Final answer
    x = 152.97

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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.