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Finding the Fourth Proportional to 120.23, 165.85 and 71.13

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Solution

The fourth proportional to 120.23, 165.85 and 71.13 is: 98.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 165.85 = 71.13 : x
  2. Step 2: Convert to fraction form
    120.23/165.85 = 71.13/x
  3. Step 3: Cross multiply
    120.23x = 165.85 × 71.13
  4. Step 4: Simplify right side
    120.23x = 11,796.42
  5. Step 5: Solve for x
    x = 11,796.42/120.23
  6. Step 6: Final answer
    x = 98.11

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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.