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Finding the Fourth Proportional to 120.23, 165.84 and 76.53

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Solution

The fourth proportional to 120.23, 165.84 and 76.53 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 165.84 = 76.53 : x
  2. Step 2: Convert to fraction form
    120.23/165.84 = 76.53/x
  3. Step 3: Cross multiply
    120.23x = 165.84 × 76.53
  4. Step 4: Simplify right side
    120.23x = 12,691.74
  5. Step 5: Solve for x
    x = 12,691.74/120.23
  6. Step 6: Final answer
    x = 105.57

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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.