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Finding the Fourth Proportional to 30.59, 46.06 and 22.64

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Solution

The fourth proportional to 30.59, 46.06 and 22.64 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 46.06 = 22.64 : x
  2. Step 2: Convert to fraction form
    30.59/46.06 = 22.64/x
  3. Step 3: Cross multiply
    30.59x = 46.06 × 22.64
  4. Step 4: Simplify right side
    30.59x = 1,042.69
  5. Step 5: Solve for x
    x = 1,042.69/30.59
  6. Step 6: Final answer
    x = 34.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.