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Finding the Fourth Proportional to 291.97, 438.03 and 86.56

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Solution

The fourth proportional to 291.97, 438.03 and 86.56 is: 129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 438.03 = 86.56 : x
  2. Step 2: Convert to fraction form
    291.97/438.03 = 86.56/x
  3. Step 3: Cross multiply
    291.97x = 438.03 × 86.56
  4. Step 4: Simplify right side
    291.97x = 37,915.88
  5. Step 5: Solve for x
    x = 37,915.88/291.97
  6. Step 6: Final answer
    x = 129.86

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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.