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Finding the Fourth Proportional to 119.98, 165.85 and 110.42

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Solution

The fourth proportional to 119.98, 165.85 and 110.42 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.98 : 165.85 = 110.42 : x
  2. Step 2: Convert to fraction form
    119.98/165.85 = 110.42/x
  3. Step 3: Cross multiply
    119.98x = 165.85 × 110.42
  4. Step 4: Simplify right side
    119.98x = 18,312.05
  5. Step 5: Solve for x
    x = 18,312.05/119.98
  6. Step 6: Final answer
    x = 152.62

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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.