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Finding the Fourth Proportional to 461.77, 692.64 and 115.10

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Solution

The fourth proportional to 461.77, 692.64 and 115.10 is: 172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.77 : 692.64 = 115.10 : x
  2. Step 2: Convert to fraction form
    461.77/692.64 = 115.10/x
  3. Step 3: Cross multiply
    461.77x = 692.64 × 115.10
  4. Step 4: Simplify right side
    461.77x = 79,724.60
  5. Step 5: Solve for x
    x = 79,724.60/461.77
  6. Step 6: Final answer
    x = 172.65

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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.