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Finding the Fourth Proportional to 109.47, 164.24 and 48.56

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Solution

The fourth proportional to 109.47, 164.24 and 48.56 is: 72.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.47 : 164.24 = 48.56 : x
  2. Step 2: Convert to fraction form
    109.47/164.24 = 48.56/x
  3. Step 3: Cross multiply
    109.47x = 164.24 × 48.56
  4. Step 4: Simplify right side
    109.47x = 7,975.49
  5. Step 5: Solve for x
    x = 7,975.49/109.47
  6. Step 6: Final answer
    x = 72.86

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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.