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Finding the Fourth Proportional to 420.70, 631.07 and 112.55

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Solution

The fourth proportional to 420.70, 631.07 and 112.55 is: 168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 631.07 = 112.55 : x
  2. Step 2: Convert to fraction form
    420.70/631.07 = 112.55/x
  3. Step 3: Cross multiply
    420.70x = 631.07 × 112.55
  4. Step 4: Simplify right side
    420.70x = 71,029.11
  5. Step 5: Solve for x
    x = 71,029.11/420.70
  6. Step 6: Final answer
    x = 168.84

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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.