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Finding the Fourth Proportional to 162.02, 223.60 and 123.14

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Solution

The fourth proportional to 162.02, 223.60 and 123.14 is: 169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 223.60 = 123.14 : x
  2. Step 2: Convert to fraction form
    162.02/223.60 = 123.14/x
  3. Step 3: Cross multiply
    162.02x = 223.60 × 123.14
  4. Step 4: Simplify right side
    162.02x = 27,534.10
  5. Step 5: Solve for x
    x = 27,534.10/162.02
  6. Step 6: Final answer
    x = 169.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.