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Finding the Fourth Proportional to 66.33, 99.50 and 18.24

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Solution

The fourth proportional to 66.33, 99.50 and 18.24 is: 27.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.33 : 99.50 = 18.24 : x
  2. Step 2: Convert to fraction form
    66.33/99.50 = 18.24/x
  3. Step 3: Cross multiply
    66.33x = 99.50 × 18.24
  4. Step 4: Simplify right side
    66.33x = 1,814.42
  5. Step 5: Solve for x
    x = 1,814.42/66.33
  6. Step 6: Final answer
    x = 27.35

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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.