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Finding the Fourth Proportional to 30.88, 46.34 and 13.77

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Solution

The fourth proportional to 30.88, 46.34 and 13.77 is: 20.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.88 : 46.34 = 13.77 : x
  2. Step 2: Convert to fraction form
    30.88/46.34 = 13.77/x
  3. Step 3: Cross multiply
    30.88x = 46.34 × 13.77
  4. Step 4: Simplify right side
    30.88x = 638.10
  5. Step 5: Solve for x
    x = 638.10/30.88
  6. Step 6: Final answer
    x = 20.66

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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.