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Finding the Fourth Proportional to 30.85, 42.53 and 24.70

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Solution

The fourth proportional to 30.85, 42.53 and 24.70 is: 34.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 42.53 = 24.70 : x
  2. Step 2: Convert to fraction form
    30.85/42.53 = 24.70/x
  3. Step 3: Cross multiply
    30.85x = 42.53 × 24.70
  4. Step 4: Simplify right side
    30.85x = 1,050.49
  5. Step 5: Solve for x
    x = 1,050.49/30.85
  6. Step 6: Final answer
    x = 34.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.