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Finding the Fourth Proportional to 162.80, 244.60 and 102.05

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Solution

The fourth proportional to 162.80, 244.60 and 102.05 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 244.60 = 102.05 : x
  2. Step 2: Convert to fraction form
    162.80/244.60 = 102.05/x
  3. Step 3: Cross multiply
    162.80x = 244.60 × 102.05
  4. Step 4: Simplify right side
    162.80x = 24,959.70
  5. Step 5: Solve for x
    x = 24,959.70/162.80
  6. Step 6: Final answer
    x = 153.32

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