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Finding the Fourth Proportional to 20.65, 30.91 and 15.60

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Solution

The fourth proportional to 20.65, 30.91 and 15.60 is: 23.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.65 : 30.91 = 15.60 : x
  2. Step 2: Convert to fraction form
    20.65/30.91 = 15.60/x
  3. Step 3: Cross multiply
    20.65x = 30.91 × 15.60
  4. Step 4: Simplify right side
    20.65x = 482.20
  5. Step 5: Solve for x
    x = 482.20/20.65
  6. Step 6: Final answer
    x = 23.35

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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.