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Finding the Fourth Proportional to 291.62, 437.29 and 106.39

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Solution

The fourth proportional to 291.62, 437.29 and 106.39 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 437.29 = 106.39 : x
  2. Step 2: Convert to fraction form
    291.62/437.29 = 106.39/x
  3. Step 3: Cross multiply
    291.62x = 437.29 × 106.39
  4. Step 4: Simplify right side
    291.62x = 46,522.74
  5. Step 5: Solve for x
    x = 46,522.74/291.62
  6. Step 6: Final answer
    x = 159.53

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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.