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Finding the Fourth Proportional to 156.36, 234.36 and 84.12

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Solution

The fourth proportional to 156.36, 234.36 and 84.12 is: 126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.36 = 84.12 : x
  2. Step 2: Convert to fraction form
    156.36/234.36 = 84.12/x
  3. Step 3: Cross multiply
    156.36x = 234.36 × 84.12
  4. Step 4: Simplify right side
    156.36x = 19,714.36
  5. Step 5: Solve for x
    x = 19,714.36/156.36
  6. Step 6: Final answer
    x = 126.08

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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.