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Finding the Fourth Proportional to 163.24, 225.24 and 101.10

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Solution

The fourth proportional to 163.24, 225.24 and 101.10 is: 139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.24 : 225.24 = 101.10 : x
  2. Step 2: Convert to fraction form
    163.24/225.24 = 101.10/x
  3. Step 3: Cross multiply
    163.24x = 225.24 × 101.10
  4. Step 4: Simplify right side
    163.24x = 22,771.76
  5. Step 5: Solve for x
    x = 22,771.76/163.24
  6. Step 6: Final answer
    x = 139.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.