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Finding the Fourth Proportional to 120.23, 165.80 and 85.20

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Solution

The fourth proportional to 120.23, 165.80 and 85.20 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 165.80 = 85.20 : x
  2. Step 2: Convert to fraction form
    120.23/165.80 = 85.20/x
  3. Step 3: Cross multiply
    120.23x = 165.80 × 85.20
  4. Step 4: Simplify right side
    120.23x = 14,125.96
  5. Step 5: Solve for x
    x = 14,125.96/120.23
  6. Step 6: Final answer
    x = 117.49

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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.