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Finding the Fourth Proportional to 132.53, 197.97 and 131.90

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Solution

The fourth proportional to 132.53, 197.97 and 131.90 is: 197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.53 : 197.97 = 131.90 : x
  2. Step 2: Convert to fraction form
    132.53/197.97 = 131.90/x
  3. Step 3: Cross multiply
    132.53x = 197.97 × 131.90
  4. Step 4: Simplify right side
    132.53x = 26,111.25
  5. Step 5: Solve for x
    x = 26,111.25/132.53
  6. Step 6: Final answer
    x = 197.03

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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.