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Finding the Fourth Proportional to 132.40, 182.73 and 99.64

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Solution

The fourth proportional to 132.40, 182.73 and 99.64 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.40 : 182.73 = 99.64 : x
  2. Step 2: Convert to fraction form
    132.40/182.73 = 99.64/x
  3. Step 3: Cross multiply
    132.40x = 182.73 × 99.64
  4. Step 4: Simplify right side
    132.40x = 18,207.22
  5. Step 5: Solve for x
    x = 18,207.22/132.40
  6. Step 6: Final answer
    x = 137.52

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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.