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Finding the Fourth Proportional to 66.31, 99.46 and 30.24

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Solution

The fourth proportional to 66.31, 99.46 and 30.24 is: 45.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.31 : 99.46 = 30.24 : x
  2. Step 2: Convert to fraction form
    66.31/99.46 = 30.24/x
  3. Step 3: Cross multiply
    66.31x = 99.46 × 30.24
  4. Step 4: Simplify right side
    66.31x = 3,007.67
  5. Step 5: Solve for x
    x = 3,007.67/66.31
  6. Step 6: Final answer
    x = 45.36

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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.