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Finding the Fourth Proportional to 98.16, 134.58 and 98.04

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Solution

The fourth proportional to 98.16, 134.58 and 98.04 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 134.58 = 98.04 : x
  2. Step 2: Convert to fraction form
    98.16/134.58 = 98.04/x
  3. Step 3: Cross multiply
    98.16x = 134.58 × 98.04
  4. Step 4: Simplify right side
    98.16x = 13,194.22
  5. Step 5: Solve for x
    x = 13,194.22/98.16
  6. Step 6: Final answer
    x = 134.42

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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.