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Finding the Fourth Proportional to 132.64, 182.85 and 106.50

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Solution

The fourth proportional to 132.64, 182.85 and 106.50 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.64 : 182.85 = 106.50 : x
  2. Step 2: Convert to fraction form
    132.64/182.85 = 106.50/x
  3. Step 3: Cross multiply
    132.64x = 182.85 × 106.50
  4. Step 4: Simplify right side
    132.64x = 19,473.53
  5. Step 5: Solve for x
    x = 19,473.53/132.64
  6. Step 6: Final answer
    x = 146.81

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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.