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Finding the Fourth Proportional to 132.02, 196.70 and 125.03

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Solution

The fourth proportional to 132.02, 196.70 and 125.03 is: 186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.02 : 196.70 = 125.03 : x
  2. Step 2: Convert to fraction form
    132.02/196.70 = 125.03/x
  3. Step 3: Cross multiply
    132.02x = 196.70 × 125.03
  4. Step 4: Simplify right side
    132.02x = 24,593.40
  5. Step 5: Solve for x
    x = 24,593.40/132.02
  6. Step 6: Final answer
    x = 186.29

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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.