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Finding the Fourth Proportional to 119.51, 164.03 and 106.10

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Solution

The fourth proportional to 119.51, 164.03 and 106.10 is: 145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.51 : 164.03 = 106.10 : x
  2. Step 2: Convert to fraction form
    119.51/164.03 = 106.10/x
  3. Step 3: Cross multiply
    119.51x = 164.03 × 106.10
  4. Step 4: Simplify right side
    119.51x = 17,403.58
  5. Step 5: Solve for x
    x = 17,403.58/119.51
  6. Step 6: Final answer
    x = 145.62

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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.