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Finding the Fourth Proportional to 214.70, 322.09 and 70.42

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Solution

The fourth proportional to 214.70, 322.09 and 70.42 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 322.09 = 70.42 : x
  2. Step 2: Convert to fraction form
    214.70/322.09 = 70.42/x
  3. Step 3: Cross multiply
    214.70x = 322.09 × 70.42
  4. Step 4: Simplify right side
    214.70x = 22,681.58
  5. Step 5: Solve for x
    x = 22,681.58/214.70
  6. Step 6: Final answer
    x = 105.64

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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.