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Finding the Fourth Proportional to 31.64, 47.52 and 29.48

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Solution

The fourth proportional to 31.64, 47.52 and 29.48 is: 44.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.64 : 47.52 = 29.48 : x
  2. Step 2: Convert to fraction form
    31.64/47.52 = 29.48/x
  3. Step 3: Cross multiply
    31.64x = 47.52 × 29.48
  4. Step 4: Simplify right side
    31.64x = 1,400.89
  5. Step 5: Solve for x
    x = 1,400.89/31.64
  6. Step 6: Final answer
    x = 44.28

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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.