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Finding the Fourth Proportional to 30.70, 46.02 and 23.08

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Solution

The fourth proportional to 30.70, 46.02 and 23.08 is: 34.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.70 : 46.02 = 23.08 : x
  2. Step 2: Convert to fraction form
    30.70/46.02 = 23.08/x
  3. Step 3: Cross multiply
    30.70x = 46.02 × 23.08
  4. Step 4: Simplify right side
    30.70x = 1,062.14
  5. Step 5: Solve for x
    x = 1,062.14/30.70
  6. Step 6: Final answer
    x = 34.60

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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.