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Finding the Fourth Proportional to 132.02, 197.86 and 63.42

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Solution

The fourth proportional to 132.02, 197.86 and 63.42 is: 95.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 197.86 = 63.42 : x
  2. Step 2: Convert to fraction form
    132.02/197.86 = 63.42/x
  3. Step 3: Cross multiply
    132.02x = 197.86 × 63.42
  4. Step 4: Simplify right side
    132.02x = 12,547.44
  5. Step 5: Solve for x
    x = 12,547.44/132.02
  6. Step 6: Final answer
    x = 95.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.