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Finding the Fourth Proportional to 132.35, 197.75 and 105.01

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Solution

The fourth proportional to 132.35, 197.75 and 105.01 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.35 : 197.75 = 105.01 : x
  2. Step 2: Convert to fraction form
    132.35/197.75 = 105.01/x
  3. Step 3: Cross multiply
    132.35x = 197.75 × 105.01
  4. Step 4: Simplify right side
    132.35x = 20,765.50
  5. Step 5: Solve for x
    x = 20,765.50/132.35
  6. Step 6: Final answer
    x = 156.90

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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.