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Finding the Fourth Proportional to 21.77, 32.35 and 21.72

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Solution

The fourth proportional to 21.77, 32.35 and 21.72 is: 32.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.77 : 32.35 = 21.72 : x
  2. Step 2: Convert to fraction form
    21.77/32.35 = 21.72/x
  3. Step 3: Cross multiply
    21.77x = 32.35 × 21.72
  4. Step 4: Simplify right side
    21.77x = 702.57
  5. Step 5: Solve for x
    x = 702.57/21.77
  6. Step 6: Final answer
    x = 32.27

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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.