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Finding the Fourth Proportional to 19.65, 26.89 and 19.58

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Solution

The fourth proportional to 19.65, 26.89 and 19.58 is: 26.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.65 : 26.89 = 19.58 : x
  2. Step 2: Convert to fraction form
    19.65/26.89 = 19.58/x
  3. Step 3: Cross multiply
    19.65x = 26.89 × 19.58
  4. Step 4: Simplify right side
    19.65x = 526.33
  5. Step 5: Solve for x
    x = 526.33/19.65
  6. Step 6: Final answer
    x = 26.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.