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Finding the Fourth Proportional to 30.77, 46.10 and 21.20

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Solution

The fourth proportional to 30.77, 46.10 and 21.20 is: 31.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.77 : 46.10 = 21.20 : x
  2. Step 2: Convert to fraction form
    30.77/46.10 = 21.20/x
  3. Step 3: Cross multiply
    30.77x = 46.10 × 21.20
  4. Step 4: Simplify right side
    30.77x = 977.32
  5. Step 5: Solve for x
    x = 977.32/30.77
  6. Step 6: Final answer
    x = 31.76

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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.