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Finding the Fourth Proportional to 28.65, 42.66 and 28.42

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Solution

The fourth proportional to 28.65, 42.66 and 28.42 is: 42.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.65 : 42.66 = 28.42 : x
  2. Step 2: Convert to fraction form
    28.65/42.66 = 28.42/x
  3. Step 3: Cross multiply
    28.65x = 42.66 × 28.42
  4. Step 4: Simplify right side
    28.65x = 1,212.29
  5. Step 5: Solve for x
    x = 1,212.29/28.65
  6. Step 6: Final answer
    x = 42.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.