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Finding the Fourth Proportional to 132.51, 182.43 and 115.26

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Solution

The fourth proportional to 132.51, 182.43 and 115.26 is: 158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 182.43 = 115.26 : x
  2. Step 2: Convert to fraction form
    132.51/182.43 = 115.26/x
  3. Step 3: Cross multiply
    132.51x = 182.43 × 115.26
  4. Step 4: Simplify right side
    132.51x = 21,026.88
  5. Step 5: Solve for x
    x = 21,026.88/132.51
  6. Step 6: Final answer
    x = 158.68

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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.