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Finding the Fourth Proportional to 109.44, 162.24 and 107.52

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Solution

The fourth proportional to 109.44, 162.24 and 107.52 is: 159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 162.24 = 107.52 : x
  2. Step 2: Convert to fraction form
    109.44/162.24 = 107.52/x
  3. Step 3: Cross multiply
    109.44x = 162.24 × 107.52
  4. Step 4: Simplify right side
    109.44x = 17,444.04
  5. Step 5: Solve for x
    x = 17,444.04/109.44
  6. Step 6: Final answer
    x = 159.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.