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Finding the Fourth Proportional to 291.53, 437.27 and 75.13

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Solution

The fourth proportional to 291.53, 437.27 and 75.13 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.53 : 437.27 = 75.13 : x
  2. Step 2: Convert to fraction form
    291.53/437.27 = 75.13/x
  3. Step 3: Cross multiply
    291.53x = 437.27 × 75.13
  4. Step 4: Simplify right side
    291.53x = 32,850.63
  5. Step 5: Solve for x
    x = 32,850.63/291.53
  6. Step 6: Final answer
    x = 112.68

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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.