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Finding the Fourth Proportional to 119.98, 164.90 and 106.08

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Solution

The fourth proportional to 119.98, 164.90 and 106.08 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.98 : 164.90 = 106.08 : x
  2. Step 2: Convert to fraction form
    119.98/164.90 = 106.08/x
  3. Step 3: Cross multiply
    119.98x = 164.90 × 106.08
  4. Step 4: Simplify right side
    119.98x = 17,492.06
  5. Step 5: Solve for x
    x = 17,492.06/119.98
  6. Step 6: Final answer
    x = 145.79

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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.