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Finding the Fourth Proportional to 163.40, 225.49 and 93.45

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Solution

The fourth proportional to 163.40, 225.49 and 93.45 is: 128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 225.49 = 93.45 : x
  2. Step 2: Convert to fraction form
    163.40/225.49 = 93.45/x
  3. Step 3: Cross multiply
    163.40x = 225.49 × 93.45
  4. Step 4: Simplify right side
    163.40x = 21,071.81
  5. Step 5: Solve for x
    x = 21,071.81/163.40
  6. Step 6: Final answer
    x = 128.96

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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.