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Finding the Fourth Proportional to 28.52, 42.40 and 28.52

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Solution

The fourth proportional to 28.52, 42.40 and 28.52 is: 42.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.52 : 42.40 = 28.52 : x
  2. Step 2: Convert to fraction form
    28.52/42.40 = 28.52/x
  3. Step 3: Cross multiply
    28.52x = 42.40 × 28.52
  4. Step 4: Simplify right side
    28.52x = 1,209.25
  5. Step 5: Solve for x
    x = 1,209.25/28.52
  6. Step 6: Final answer
    x = 42.40

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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.