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Finding the Fourth Proportional to 214.81, 322.24 and 70.54

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Solution

The fourth proportional to 214.81, 322.24 and 70.54 is: 105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 322.24 = 70.54 : x
  2. Step 2: Convert to fraction form
    214.81/322.24 = 70.54/x
  3. Step 3: Cross multiply
    214.81x = 322.24 × 70.54
  4. Step 4: Simplify right side
    214.81x = 22,730.81
  5. Step 5: Solve for x
    x = 22,730.81/214.81
  6. Step 6: Final answer
    x = 105.82

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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.