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Finding the Fourth Proportional to 162.12, 243.05 and 70.69

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Solution

The fourth proportional to 162.12, 243.05 and 70.69 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 243.05 = 70.69 : x
  2. Step 2: Convert to fraction form
    162.12/243.05 = 70.69/x
  3. Step 3: Cross multiply
    162.12x = 243.05 × 70.69
  4. Step 4: Simplify right side
    162.12x = 17,181.20
  5. Step 5: Solve for x
    x = 17,181.20/162.12
  6. Step 6: Final answer
    x = 105.98

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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.