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Finding the Fourth Proportional to 104.24, 155.04 and 102.32

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Solution

The fourth proportional to 104.24, 155.04 and 102.32 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.24 : 155.04 = 102.32 : x
  2. Step 2: Convert to fraction form
    104.24/155.04 = 102.32/x
  3. Step 3: Cross multiply
    104.24x = 155.04 × 102.32
  4. Step 4: Simplify right side
    104.24x = 15,863.69
  5. Step 5: Solve for x
    x = 15,863.69/104.24
  6. Step 6: Final answer
    x = 152.18

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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.