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Finding the Fourth Proportional to 156.09, 234 and 82.89

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Solution

The fourth proportional to 156.09, 234 and 82.89 is: 124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 234 = 82.89 : x
  2. Step 2: Convert to fraction form
    156.09/234 = 82.89/x
  3. Step 3: Cross multiply
    156.09x = 234 × 82.89
  4. Step 4: Simplify right side
    156.09x = 19,396.26
  5. Step 5: Solve for x
    x = 19,396.26/156.09
  6. Step 6: Final answer
    x = 124.26

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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.