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Finding the Fourth Proportional to 30.70, 46.06 and 24.66

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Solution

The fourth proportional to 30.70, 46.06 and 24.66 is: 37.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.70 : 46.06 = 24.66 : x
  2. Step 2: Convert to fraction form
    30.70/46.06 = 24.66/x
  3. Step 3: Cross multiply
    30.70x = 46.06 × 24.66
  4. Step 4: Simplify right side
    30.70x = 1,135.84
  5. Step 5: Solve for x
    x = 1,135.84/30.70
  6. Step 6: Final answer
    x = 37.00

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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.