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Finding the Fourth Proportional to 21.70, 32.42 and 19.16

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Solution

The fourth proportional to 21.70, 32.42 and 19.16 is: 28.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.70 : 32.42 = 19.16 : x
  2. Step 2: Convert to fraction form
    21.70/32.42 = 19.16/x
  3. Step 3: Cross multiply
    21.70x = 32.42 × 19.16
  4. Step 4: Simplify right side
    21.70x = 621.17
  5. Step 5: Solve for x
    x = 621.17/21.70
  6. Step 6: Final answer
    x = 28.63

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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.