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Finding the Fourth Proportional to 291.54, 437.26 and 96.54

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Solution

The fourth proportional to 291.54, 437.26 and 96.54 is: 144.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.54 : 437.26 = 96.54 : x
  2. Step 2: Convert to fraction form
    291.54/437.26 = 96.54/x
  3. Step 3: Cross multiply
    291.54x = 437.26 × 96.54
  4. Step 4: Simplify right side
    291.54x = 42,213.08
  5. Step 5: Solve for x
    x = 42,213.08/291.54
  6. Step 6: Final answer
    x = 144.79

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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.