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Finding the Fourth Proportional to 162.42, 224.06 and 104.16

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Solution

The fourth proportional to 162.42, 224.06 and 104.16 is: 143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 224.06 = 104.16 : x
  2. Step 2: Convert to fraction form
    162.42/224.06 = 104.16/x
  3. Step 3: Cross multiply
    162.42x = 224.06 × 104.16
  4. Step 4: Simplify right side
    162.42x = 23,338.09
  5. Step 5: Solve for x
    x = 23,338.09/162.42
  6. Step 6: Final answer
    x = 143.69

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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.