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Finding the Fourth Proportional to 20.78, 31.15 and 14.77

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Solution

The fourth proportional to 20.78, 31.15 and 14.77 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.78 : 31.15 = 14.77 : x
  2. Step 2: Convert to fraction form
    20.78/31.15 = 14.77/x
  3. Step 3: Cross multiply
    20.78x = 31.15 × 14.77
  4. Step 4: Simplify right side
    20.78x = 460.09
  5. Step 5: Solve for x
    x = 460.09/20.78
  6. Step 6: Final answer
    x = 22.14

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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.