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Finding the Fourth Proportional to 291.62, 437.43 and 86.16

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Solution

The fourth proportional to 291.62, 437.43 and 86.16 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 437.43 = 86.16 : x
  2. Step 2: Convert to fraction form
    291.62/437.43 = 86.16/x
  3. Step 3: Cross multiply
    291.62x = 437.43 × 86.16
  4. Step 4: Simplify right side
    291.62x = 37,688.97
  5. Step 5: Solve for x
    x = 37,688.97/291.62
  6. Step 6: Final answer
    x = 129.24

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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.