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Finding the Fourth Proportional to 461.57, 692.34 and 114.91

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Solution

The fourth proportional to 461.57, 692.34 and 114.91 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 692.34 = 114.91 : x
  2. Step 2: Convert to fraction form
    461.57/692.34 = 114.91/x
  3. Step 3: Cross multiply
    461.57x = 692.34 × 114.91
  4. Step 4: Simplify right side
    461.57x = 79,556.79
  5. Step 5: Solve for x
    x = 79,556.79/461.57
  6. Step 6: Final answer
    x = 172.36

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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.