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Finding the Fourth Proportional to 132.98, 183.15 and 114.56

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Solution

The fourth proportional to 132.98, 183.15 and 114.56 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 183.15 = 114.56 : x
  2. Step 2: Convert to fraction form
    132.98/183.15 = 114.56/x
  3. Step 3: Cross multiply
    132.98x = 183.15 × 114.56
  4. Step 4: Simplify right side
    132.98x = 20,981.66
  5. Step 5: Solve for x
    x = 20,981.66/132.98
  6. Step 6: Final answer
    x = 157.78

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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.