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Finding the Fourth Proportional to 275.34, 413.06 and 101.99

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Solution

The fourth proportional to 275.34, 413.06 and 101.99 is: 152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 413.06 = 101.99 : x
  2. Step 2: Convert to fraction form
    275.34/413.06 = 101.99/x
  3. Step 3: Cross multiply
    275.34x = 413.06 × 101.99
  4. Step 4: Simplify right side
    275.34x = 42,125.41
  5. Step 5: Solve for x
    x = 42,125.41/275.34
  6. Step 6: Final answer
    x = 152.99

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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.