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Finding the Fourth Proportional to 214.66, 322.05 and 60.59

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Solution

The fourth proportional to 214.66, 322.05 and 60.59 is: 90.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.66 : 322.05 = 60.59 : x
  2. Step 2: Convert to fraction form
    214.66/322.05 = 60.59/x
  3. Step 3: Cross multiply
    214.66x = 322.05 × 60.59
  4. Step 4: Simplify right side
    214.66x = 19,514.04
  5. Step 5: Solve for x
    x = 19,514.04/214.66
  6. Step 6: Final answer
    x = 90.91

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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.