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Finding the Fourth Proportional to 120.51, 165.16 and 118.23

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Solution

The fourth proportional to 120.51, 165.16 and 118.23 is: 162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.51 : 165.16 = 118.23 : x
  2. Step 2: Convert to fraction form
    120.51/165.16 = 118.23/x
  3. Step 3: Cross multiply
    120.51x = 165.16 × 118.23
  4. Step 4: Simplify right side
    120.51x = 19,528.12
  5. Step 5: Solve for x
    x = 19,528.12/120.51
  6. Step 6: Final answer
    x = 162.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.