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Finding the Fourth Proportional to 132.53, 182.96 and 89.00

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Solution

The fourth proportional to 132.53, 182.96 and 89.00 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 182.96 = 89.00 : x
  2. Step 2: Convert to fraction form
    132.53/182.96 = 89.00/x
  3. Step 3: Cross multiply
    132.53x = 182.96 × 89.00
  4. Step 4: Simplify right side
    132.53x = 16,282.08
  5. Step 5: Solve for x
    x = 16,282.08/132.53
  6. Step 6: Final answer
    x = 122.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.