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Finding the Fourth Proportional to 30.32, 45.40 and 21.28

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Solution

The fourth proportional to 30.32, 45.40 and 21.28 is: 31.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 45.40 = 21.28 : x
  2. Step 2: Convert to fraction form
    30.32/45.40 = 21.28/x
  3. Step 3: Cross multiply
    30.32x = 45.40 × 21.28
  4. Step 4: Simplify right side
    30.32x = 966.11
  5. Step 5: Solve for x
    x = 966.11/30.32
  6. Step 6: Final answer
    x = 31.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.