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Finding the Fourth Proportional to 98.04, 145.82 and 96.96

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Solution

The fourth proportional to 98.04, 145.82 and 96.96 is: 144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.04 : 145.82 = 96.96 : x
  2. Step 2: Convert to fraction form
    98.04/145.82 = 96.96/x
  3. Step 3: Cross multiply
    98.04x = 145.82 × 96.96
  4. Step 4: Simplify right side
    98.04x = 14,138.22
  5. Step 5: Solve for x
    x = 14,138.22/98.04
  6. Step 6: Final answer
    x = 144.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.