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Finding the Fourth Proportional to 132, 182.16 and 105.98

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Solution

The fourth proportional to 132, 182.16 and 105.98 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132 : 182.16 = 105.98 : x
  2. Step 2: Convert to fraction form
    132/182.16 = 105.98/x
  3. Step 3: Cross multiply
    132x = 182.16 × 105.98
  4. Step 4: Simplify right side
    132x = 19,305.32
  5. Step 5: Solve for x
    x = 19,305.32/132
  6. Step 6: Final answer
    x = 146.25

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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.