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Finding the Fourth Proportional to 287.55, 431.34 and 82.13

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Solution

The fourth proportional to 287.55, 431.34 and 82.13 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.55 : 431.34 = 82.13 : x
  2. Step 2: Convert to fraction form
    287.55/431.34 = 82.13/x
  3. Step 3: Cross multiply
    287.55x = 431.34 × 82.13
  4. Step 4: Simplify right side
    287.55x = 35,425.95
  5. Step 5: Solve for x
    x = 35,425.95/287.55
  6. Step 6: Final answer
    x = 123.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.