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Finding the Fourth Proportional to 28.15, 42.05 and 19.52

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Solution

The fourth proportional to 28.15, 42.05 and 19.52 is: 29.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.15 : 42.05 = 19.52 : x
  2. Step 2: Convert to fraction form
    28.15/42.05 = 19.52/x
  3. Step 3: Cross multiply
    28.15x = 42.05 × 19.52
  4. Step 4: Simplify right side
    28.15x = 820.51
  5. Step 5: Solve for x
    x = 820.51/28.15
  6. Step 6: Final answer
    x = 29.15

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