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Finding the Fourth Proportional to 66.46, 99.72 and 30.38

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Solution

The fourth proportional to 66.46, 99.72 and 30.38 is: 45.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.46 : 99.72 = 30.38 : x
  2. Step 2: Convert to fraction form
    66.46/99.72 = 30.38/x
  3. Step 3: Cross multiply
    66.46x = 99.72 × 30.38
  4. Step 4: Simplify right side
    66.46x = 3,029.49
  5. Step 5: Solve for x
    x = 3,029.49/66.46
  6. Step 6: Final answer
    x = 45.58

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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.