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Finding the Fourth Proportional to 345.82, 518.72 and 102.34

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Solution

The fourth proportional to 345.82, 518.72 and 102.34 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.82 : 518.72 = 102.34 : x
  2. Step 2: Convert to fraction form
    345.82/518.72 = 102.34/x
  3. Step 3: Cross multiply
    345.82x = 518.72 × 102.34
  4. Step 4: Simplify right side
    345.82x = 53,085.80
  5. Step 5: Solve for x
    x = 53,085.80/345.82
  6. Step 6: Final answer
    x = 153.51

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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.