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Finding the Fourth Proportional to 32.45, 44.91 and 31.50

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Solution

The fourth proportional to 32.45, 44.91 and 31.50 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.45 : 44.91 = 31.50 : x
  2. Step 2: Convert to fraction form
    32.45/44.91 = 31.50/x
  3. Step 3: Cross multiply
    32.45x = 44.91 × 31.50
  4. Step 4: Simplify right side
    32.45x = 1,414.67
  5. Step 5: Solve for x
    x = 1,414.67/32.45
  6. Step 6: Final answer
    x = 43.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.