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Finding the Fourth Proportional to 275.37, 413.07 and 101.93

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Solution

The fourth proportional to 275.37, 413.07 and 101.93 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 413.07 = 101.93 : x
  2. Step 2: Convert to fraction form
    275.37/413.07 = 101.93/x
  3. Step 3: Cross multiply
    275.37x = 413.07 × 101.93
  4. Step 4: Simplify right side
    275.37x = 42,104.23
  5. Step 5: Solve for x
    x = 42,104.23/275.37
  6. Step 6: Final answer
    x = 152.90

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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.