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Finding the Fourth Proportional to 459.47, 689.20 and 112.81

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Solution

The fourth proportional to 459.47, 689.20 and 112.81 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.47 : 689.20 = 112.81 : x
  2. Step 2: Convert to fraction form
    459.47/689.20 = 112.81/x
  3. Step 3: Cross multiply
    459.47x = 689.20 × 112.81
  4. Step 4: Simplify right side
    459.47x = 77,745.21
  5. Step 5: Solve for x
    x = 77,745.21/459.47
  6. Step 6: Final answer
    x = 169.21

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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.