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Finding the Fourth Proportional to 214.64, 322.01 and 70.36

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Solution

The fourth proportional to 214.64, 322.01 and 70.36 is: 105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 322.01 = 70.36 : x
  2. Step 2: Convert to fraction form
    214.64/322.01 = 70.36/x
  3. Step 3: Cross multiply
    214.64x = 322.01 × 70.36
  4. Step 4: Simplify right side
    214.64x = 22,657.20
  5. Step 5: Solve for x
    x = 22,657.20/214.64
  6. Step 6: Final answer
    x = 105.56

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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.