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Finding the Fourth Proportional to 120, 165.42 and 105.36

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Solution

The fourth proportional to 120, 165.42 and 105.36 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 165.42 = 105.36 : x
  2. Step 2: Convert to fraction form
    120/165.42 = 105.36/x
  3. Step 3: Cross multiply
    120x = 165.42 × 105.36
  4. Step 4: Simplify right side
    120x = 17,428.65
  5. Step 5: Solve for x
    x = 17,428.65/120
  6. Step 6: Final answer
    x = 145.24

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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.