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Finding the Fourth Proportional to 132.48, 197.60 and 130.05

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Solution

The fourth proportional to 132.48, 197.60 and 130.05 is: 193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.48 : 197.60 = 130.05 : x
  2. Step 2: Convert to fraction form
    132.48/197.60 = 130.05/x
  3. Step 3: Cross multiply
    132.48x = 197.60 × 130.05
  4. Step 4: Simplify right side
    132.48x = 25,697.23
  5. Step 5: Solve for x
    x = 25,697.23/132.48
  6. Step 6: Final answer
    x = 193.97

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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.