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Finding the Fourth Proportional to 152.12, 209.78 and 103.04

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Solution

The fourth proportional to 152.12, 209.78 and 103.04 is: 142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 209.78 = 103.04 : x
  2. Step 2: Convert to fraction form
    152.12/209.78 = 103.04/x
  3. Step 3: Cross multiply
    152.12x = 209.78 × 103.04
  4. Step 4: Simplify right side
    152.12x = 21,615.73
  5. Step 5: Solve for x
    x = 21,615.73/152.12
  6. Step 6: Final answer
    x = 142.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.