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Finding the Fourth Proportional to 287.54, 431.31 and 82.13

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Solution

The fourth proportional to 287.54, 431.31 and 82.13 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.54 : 431.31 = 82.13 : x
  2. Step 2: Convert to fraction form
    287.54/431.31 = 82.13/x
  3. Step 3: Cross multiply
    287.54x = 431.31 × 82.13
  4. Step 4: Simplify right side
    287.54x = 35,423.49
  5. Step 5: Solve for x
    x = 35,423.49/287.54
  6. Step 6: Final answer
    x = 123.20

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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.