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Finding the Fourth Proportional to 287.45, 431.10 and 82.01

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Solution

The fourth proportional to 287.45, 431.10 and 82.01 is: 122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 431.10 = 82.01 : x
  2. Step 2: Convert to fraction form
    287.45/431.10 = 82.01/x
  3. Step 3: Cross multiply
    287.45x = 431.10 × 82.01
  4. Step 4: Simplify right side
    287.45x = 35,353.64
  5. Step 5: Solve for x
    x = 35,353.64/287.45
  6. Step 6: Final answer
    x = 122.99

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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.