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Finding the Fourth Proportional to 143.07, 214.32 and 91.74

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Solution

The fourth proportional to 143.07, 214.32 and 91.74 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 214.32 = 91.74 : x
  2. Step 2: Convert to fraction form
    143.07/214.32 = 91.74/x
  3. Step 3: Cross multiply
    143.07x = 214.32 × 91.74
  4. Step 4: Simplify right side
    143.07x = 19,661.72
  5. Step 5: Solve for x
    x = 19,661.72/143.07
  6. Step 6: Final answer
    x = 137.43

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Why These Related Problems?

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