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Finding the Fourth Proportional to 31.02, 46.44 and 29.28

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Solution

The fourth proportional to 31.02, 46.44 and 29.28 is: 43.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.02 : 46.44 = 29.28 : x
  2. Step 2: Convert to fraction form
    31.02/46.44 = 29.28/x
  3. Step 3: Cross multiply
    31.02x = 46.44 × 29.28
  4. Step 4: Simplify right side
    31.02x = 1,359.76
  5. Step 5: Solve for x
    x = 1,359.76/31.02
  6. Step 6: Final answer
    x = 43.84

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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.