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Finding the Fourth Proportional to 45.13, 67.66 and 20.77

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Solution

The fourth proportional to 45.13, 67.66 and 20.77 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.13 : 67.66 = 20.77 : x
  2. Step 2: Convert to fraction form
    45.13/67.66 = 20.77/x
  3. Step 3: Cross multiply
    45.13x = 67.66 × 20.77
  4. Step 4: Simplify right side
    45.13x = 1,405.20
  5. Step 5: Solve for x
    x = 1,405.20/45.13
  6. Step 6: Final answer
    x = 31.14

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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.