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Finding the Fourth Proportional to 155.72, 214.86 and 104.12

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Solution

The fourth proportional to 155.72, 214.86 and 104.12 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.72 : 214.86 = 104.12 : x
  2. Step 2: Convert to fraction form
    155.72/214.86 = 104.12/x
  3. Step 3: Cross multiply
    155.72x = 214.86 × 104.12
  4. Step 4: Simplify right side
    155.72x = 22,371.22
  5. Step 5: Solve for x
    x = 22,371.22/155.72
  6. Step 6: Final answer
    x = 143.66

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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.