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Finding the Fourth Proportional to 30.80, 46.14 and 14.53

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Solution

The fourth proportional to 30.80, 46.14 and 14.53 is: 21.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 46.14 = 14.53 : x
  2. Step 2: Convert to fraction form
    30.80/46.14 = 14.53/x
  3. Step 3: Cross multiply
    30.80x = 46.14 × 14.53
  4. Step 4: Simplify right side
    30.80x = 670.41
  5. Step 5: Solve for x
    x = 670.41/30.80
  6. Step 6: Final answer
    x = 21.77

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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.