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Finding the Fourth Proportional to 32.69, 48.90 and 29.30

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Solution

The fourth proportional to 32.69, 48.90 and 29.30 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.69 : 48.90 = 29.30 : x
  2. Step 2: Convert to fraction form
    32.69/48.90 = 29.30/x
  3. Step 3: Cross multiply
    32.69x = 48.90 × 29.30
  4. Step 4: Simplify right side
    32.69x = 1,432.77
  5. Step 5: Solve for x
    x = 1,432.77/32.69
  6. Step 6: Final answer
    x = 43.83

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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.