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Finding the Fourth Proportional to 132.02, 197.07 and 108.93

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Solution

The fourth proportional to 132.02, 197.07 and 108.93 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 197.07 = 108.93 : x
  2. Step 2: Convert to fraction form
    132.02/197.07 = 108.93/x
  3. Step 3: Cross multiply
    132.02x = 197.07 × 108.93
  4. Step 4: Simplify right side
    132.02x = 21,466.84
  5. Step 5: Solve for x
    x = 21,466.84/132.02
  6. Step 6: Final answer
    x = 162.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.