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Finding the Fourth Proportional to 152.00, 209.84 and 102.96

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Solution

The fourth proportional to 152.00, 209.84 and 102.96 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 209.84 = 102.96 : x
  2. Step 2: Convert to fraction form
    152.00/209.84 = 102.96/x
  3. Step 3: Cross multiply
    152.00x = 209.84 × 102.96
  4. Step 4: Simplify right side
    152.00x = 21,604.61
  5. Step 5: Solve for x
    x = 21,604.61/152.00
  6. Step 6: Final answer
    x = 142.14

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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.