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Finding the Fourth Proportional to 120.81, 180.35 and 112.35

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Solution

The fourth proportional to 120.81, 180.35 and 112.35 is: 167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.81 : 180.35 = 112.35 : x
  2. Step 2: Convert to fraction form
    120.81/180.35 = 112.35/x
  3. Step 3: Cross multiply
    120.81x = 180.35 × 112.35
  4. Step 4: Simplify right side
    120.81x = 20,261.76
  5. Step 5: Solve for x
    x = 20,261.76/120.81
  6. Step 6: Final answer
    x = 167.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.