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Finding the Fourth Proportional to 21.42, 29.76 and 21.17

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Solution

The fourth proportional to 21.42, 29.76 and 21.17 is: 29.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 29.76 = 21.17 : x
  2. Step 2: Convert to fraction form
    21.42/29.76 = 21.17/x
  3. Step 3: Cross multiply
    21.42x = 29.76 × 21.17
  4. Step 4: Simplify right side
    21.42x = 630.02
  5. Step 5: Solve for x
    x = 630.02/21.42
  6. Step 6: Final answer
    x = 29.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.