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Finding the Fourth Proportional to 15.65, 23.45 and 13.74

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Solution

The fourth proportional to 15.65, 23.45 and 13.74 is: 20.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.65 : 23.45 = 13.74 : x
  2. Step 2: Convert to fraction form
    15.65/23.45 = 13.74/x
  3. Step 3: Cross multiply
    15.65x = 23.45 × 13.74
  4. Step 4: Simplify right side
    15.65x = 322.10
  5. Step 5: Solve for x
    x = 322.10/15.65
  6. Step 6: Final answer
    x = 20.59

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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.