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Finding the Fourth Proportional to 98.46, 134.10 and 98.16

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Solution

The fourth proportional to 98.46, 134.10 and 98.16 is: 133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 134.10 = 98.16 : x
  2. Step 2: Convert to fraction form
    98.46/134.10 = 98.16/x
  3. Step 3: Cross multiply
    98.46x = 134.10 × 98.16
  4. Step 4: Simplify right side
    98.46x = 13,163.26
  5. Step 5: Solve for x
    x = 13,163.26/98.46
  6. Step 6: Final answer
    x = 133.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.