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Finding the Fourth Proportional to 66.30, 99.44 and 49.21

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Solution

The fourth proportional to 66.30, 99.44 and 49.21 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.30 : 99.44 = 49.21 : x
  2. Step 2: Convert to fraction form
    66.30/99.44 = 49.21/x
  3. Step 3: Cross multiply
    66.30x = 99.44 × 49.21
  4. Step 4: Simplify right side
    66.30x = 4,893.41
  5. Step 5: Solve for x
    x = 4,893.41/66.30
  6. Step 6: Final answer
    x = 73.80

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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.