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Finding the Fourth Proportional to 143.36, 214.86 and 106.25

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Solution

The fourth proportional to 143.36, 214.86 and 106.25 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.36 : 214.86 = 106.25 : x
  2. Step 2: Convert to fraction form
    143.36/214.86 = 106.25/x
  3. Step 3: Cross multiply
    143.36x = 214.86 × 106.25
  4. Step 4: Simplify right side
    143.36x = 22,829.41
  5. Step 5: Solve for x
    x = 22,829.41/143.36
  6. Step 6: Final answer
    x = 159.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.