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Finding the Fourth Proportional to 162.86, 224.65 and 104.54

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Solution

The fourth proportional to 162.86, 224.65 and 104.54 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.86 : 224.65 = 104.54 : x
  2. Step 2: Convert to fraction form
    162.86/224.65 = 104.54/x
  3. Step 3: Cross multiply
    162.86x = 224.65 × 104.54
  4. Step 4: Simplify right side
    162.86x = 23,483.53
  5. Step 5: Solve for x
    x = 23,483.53/162.86
  6. Step 6: Final answer
    x = 144.20

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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.