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Finding the Fourth Proportional to 312.68, 469.02 and 81.55

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Solution

The fourth proportional to 312.68, 469.02 and 81.55 is: 122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 469.02 = 81.55 : x
  2. Step 2: Convert to fraction form
    312.68/469.02 = 81.55/x
  3. Step 3: Cross multiply
    312.68x = 469.02 × 81.55
  4. Step 4: Simplify right side
    312.68x = 38,248.86
  5. Step 5: Solve for x
    x = 38,248.86/312.68
  6. Step 6: Final answer
    x = 122.33

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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.