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Finding the Fourth Proportional to 156.49, 234.75 and 40.94

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Solution

The fourth proportional to 156.49, 234.75 and 40.94 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.49 : 234.75 = 40.94 : x
  2. Step 2: Convert to fraction form
    156.49/234.75 = 40.94/x
  3. Step 3: Cross multiply
    156.49x = 234.75 × 40.94
  4. Step 4: Simplify right side
    156.49x = 9,609.49
  5. Step 5: Solve for x
    x = 9,609.49/156.49
  6. Step 6: Final answer
    x = 61.41

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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.