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Finding the Fourth Proportional to 132.56, 182.77 and 110.46

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Solution

The fourth proportional to 132.56, 182.77 and 110.46 is: 152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 182.77 = 110.46 : x
  2. Step 2: Convert to fraction form
    132.56/182.77 = 110.46/x
  3. Step 3: Cross multiply
    132.56x = 182.77 × 110.46
  4. Step 4: Simplify right side
    132.56x = 20,188.77
  5. Step 5: Solve for x
    x = 20,188.77/132.56
  6. Step 6: Final answer
    x = 152.30

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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.