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Finding the Fourth Proportional to 162.28, 224 and 104.14

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Solution

The fourth proportional to 162.28, 224 and 104.14 is: 143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.28 : 224 = 104.14 : x
  2. Step 2: Convert to fraction form
    162.28/224 = 104.14/x
  3. Step 3: Cross multiply
    162.28x = 224 × 104.14
  4. Step 4: Simplify right side
    162.28x = 23,327.36
  5. Step 5: Solve for x
    x = 23,327.36/162.28
  6. Step 6: Final answer
    x = 143.75

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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.