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Finding the Fourth Proportional to 132.23, 182.51 and 76.98

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Solution

The fourth proportional to 132.23, 182.51 and 76.98 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.23 : 182.51 = 76.98 : x
  2. Step 2: Convert to fraction form
    132.23/182.51 = 76.98/x
  3. Step 3: Cross multiply
    132.23x = 182.51 × 76.98
  4. Step 4: Simplify right side
    132.23x = 14,049.23
  5. Step 5: Solve for x
    x = 14,049.23/132.23
  6. Step 6: Final answer
    x = 106.25

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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.