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Finding the Fourth Proportional to 143.07, 214.56 and 91.53

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Solution

The fourth proportional to 143.07, 214.56 and 91.53 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 214.56 = 91.53 : x
  2. Step 2: Convert to fraction form
    143.07/214.56 = 91.53/x
  3. Step 3: Cross multiply
    143.07x = 214.56 × 91.53
  4. Step 4: Simplify right side
    143.07x = 19,638.68
  5. Step 5: Solve for x
    x = 19,638.68/143.07
  6. Step 6: Final answer
    x = 137.27

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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.