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Finding the Fourth Proportional to 275.14, 412.71 and 82.77

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Solution

The fourth proportional to 275.14, 412.71 and 82.77 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.14 : 412.71 = 82.77 : x
  2. Step 2: Convert to fraction form
    275.14/412.71 = 82.77/x
  3. Step 3: Cross multiply
    275.14x = 412.71 × 82.77
  4. Step 4: Simplify right side
    275.14x = 34,157.94
  5. Step 5: Solve for x
    x = 34,157.94/275.14
  6. Step 6: Final answer
    x = 124.15

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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.