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Finding the Fourth Proportional to 275.24, 413.12 and 102.07

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Solution

The fourth proportional to 275.24, 413.12 and 102.07 is: 153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 413.12 = 102.07 : x
  2. Step 2: Convert to fraction form
    275.24/413.12 = 102.07/x
  3. Step 3: Cross multiply
    275.24x = 413.12 × 102.07
  4. Step 4: Simplify right side
    275.24x = 42,167.16
  5. Step 5: Solve for x
    x = 42,167.16/275.24
  6. Step 6: Final answer
    x = 153.20

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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.