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Finding the Fourth Proportional to 98.02, 134.38 and 96.64

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Solution

The fourth proportional to 98.02, 134.38 and 96.64 is: 132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 134.38 = 96.64 : x
  2. Step 2: Convert to fraction form
    98.02/134.38 = 96.64/x
  3. Step 3: Cross multiply
    98.02x = 134.38 × 96.64
  4. Step 4: Simplify right side
    98.02x = 12,986.48
  5. Step 5: Solve for x
    x = 12,986.48/98.02
  6. Step 6: Final answer
    x = 132.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.