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Finding the Fourth Proportional to 214.34, 321.60 and 106.13

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Solution

The fourth proportional to 214.34, 321.60 and 106.13 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 321.60 = 106.13 : x
  2. Step 2: Convert to fraction form
    214.34/321.60 = 106.13/x
  3. Step 3: Cross multiply
    214.34x = 321.60 × 106.13
  4. Step 4: Simplify right side
    214.34x = 34,131.41
  5. Step 5: Solve for x
    x = 34,131.41/214.34
  6. Step 6: Final answer
    x = 159.24

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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.