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Finding the Fourth Proportional to 21.85, 29.97 and 21.47

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Solution

The fourth proportional to 21.85, 29.97 and 21.47 is: 29.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.85 : 29.97 = 21.47 : x
  2. Step 2: Convert to fraction form
    21.85/29.97 = 21.47/x
  3. Step 3: Cross multiply
    21.85x = 29.97 × 21.47
  4. Step 4: Simplify right side
    21.85x = 643.31
  5. Step 5: Solve for x
    x = 643.31/21.85
  6. Step 6: Final answer
    x = 29.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.