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Finding the Fourth Proportional to 459.42, 689.13 and 112.75

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Solution

The fourth proportional to 459.42, 689.13 and 112.75 is: 169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 689.13 = 112.75 : x
  2. Step 2: Convert to fraction form
    459.42/689.13 = 112.75/x
  3. Step 3: Cross multiply
    459.42x = 689.13 × 112.75
  4. Step 4: Simplify right side
    459.42x = 77,700.85
  5. Step 5: Solve for x
    x = 77,700.85/459.42
  6. Step 6: Final answer
    x = 169.13

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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.