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Finding the Fourth Proportional to 243.52, 365.24 and 70.16

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Solution

The fourth proportional to 243.52, 365.24 and 70.16 is: 105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 365.24 = 70.16 : x
  2. Step 2: Convert to fraction form
    243.52/365.24 = 70.16/x
  3. Step 3: Cross multiply
    243.52x = 365.24 × 70.16
  4. Step 4: Simplify right side
    243.52x = 25,625.24
  5. Step 5: Solve for x
    x = 25,625.24/243.52
  6. Step 6: Final answer
    x = 105.23

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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.