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Finding the Fourth Proportional to 132.98, 199.36 and 51.87

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Solution

The fourth proportional to 132.98, 199.36 and 51.87 is: 77.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 199.36 = 51.87 : x
  2. Step 2: Convert to fraction form
    132.98/199.36 = 51.87/x
  3. Step 3: Cross multiply
    132.98x = 199.36 × 51.87
  4. Step 4: Simplify right side
    132.98x = 10,341.62
  5. Step 5: Solve for x
    x = 10,341.62/132.98
  6. Step 6: Final answer
    x = 77.77

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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.