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Finding the Fourth Proportional to 120.51, 180.81 and 52.03

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Solution

The fourth proportional to 120.51, 180.81 and 52.03 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.51 : 180.81 = 52.03 : x
  2. Step 2: Convert to fraction form
    120.51/180.81 = 52.03/x
  3. Step 3: Cross multiply
    120.51x = 180.81 × 52.03
  4. Step 4: Simplify right side
    120.51x = 9,406.38
  5. Step 5: Solve for x
    x = 9,406.38/120.51
  6. Step 6: Final answer
    x = 78.06

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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.