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Finding the Fourth Proportional to 120.10, 180.16 and 55.10

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Solution

The fourth proportional to 120.10, 180.16 and 55.10 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 180.16 = 55.10 : x
  2. Step 2: Convert to fraction form
    120.10/180.16 = 55.10/x
  3. Step 3: Cross multiply
    120.10x = 180.16 × 55.10
  4. Step 4: Simplify right side
    120.10x = 9,926.12
  5. Step 5: Solve for x
    x = 9,926.12/120.10
  6. Step 6: Final answer
    x = 82.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.