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Finding the Fourth Proportional to 156.19, 234.07 and 69.54

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Solution

The fourth proportional to 156.19, 234.07 and 69.54 is: 104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.19 : 234.07 = 69.54 : x
  2. Step 2: Convert to fraction form
    156.19/234.07 = 69.54/x
  3. Step 3: Cross multiply
    156.19x = 234.07 × 69.54
  4. Step 4: Simplify right side
    156.19x = 16,277.23
  5. Step 5: Solve for x
    x = 16,277.23/156.19
  6. Step 6: Final answer
    x = 104.22

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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.