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Finding the Fourth Proportional to 275.84, 413.76 and 83.46

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Solution

The fourth proportional to 275.84, 413.76 and 83.46 is: 125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.84 : 413.76 = 83.46 : x
  2. Step 2: Convert to fraction form
    275.84/413.76 = 83.46/x
  3. Step 3: Cross multiply
    275.84x = 413.76 × 83.46
  4. Step 4: Simplify right side
    275.84x = 34,532.41
  5. Step 5: Solve for x
    x = 34,532.41/275.84
  6. Step 6: Final answer
    x = 125.19

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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.