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Finding the Fourth Proportional to 28.16, 42.02 and 23.84

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Solution

The fourth proportional to 28.16, 42.02 and 23.84 is: 35.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.16 : 42.02 = 23.84 : x
  2. Step 2: Convert to fraction form
    28.16/42.02 = 23.84/x
  3. Step 3: Cross multiply
    28.16x = 42.02 × 23.84
  4. Step 4: Simplify right side
    28.16x = 1,001.76
  5. Step 5: Solve for x
    x = 1,001.76/28.16
  6. Step 6: Final answer
    x = 35.57

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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.