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Finding the Fourth Proportional to 102.25, 153.38 and 96.04

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Solution

The fourth proportional to 102.25, 153.38 and 96.04 is: 144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 153.38 = 96.04 : x
  2. Step 2: Convert to fraction form
    102.25/153.38 = 96.04/x
  3. Step 3: Cross multiply
    102.25x = 153.38 × 96.04
  4. Step 4: Simplify right side
    102.25x = 14,730.62
  5. Step 5: Solve for x
    x = 14,730.62/102.25
  6. Step 6: Final answer
    x = 144.06

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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.