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Finding the Fourth Proportional to 132.77, 198.57 and 98.60

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Solution

The fourth proportional to 132.77, 198.57 and 98.60 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.77 : 198.57 = 98.60 : x
  2. Step 2: Convert to fraction form
    132.77/198.57 = 98.60/x
  3. Step 3: Cross multiply
    132.77x = 198.57 × 98.60
  4. Step 4: Simplify right side
    132.77x = 19,578.01
  5. Step 5: Solve for x
    x = 19,578.01/132.77
  6. Step 6: Final answer
    x = 147.46

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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.