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Finding the Fourth Proportional to 32.46, 45 and 31.80

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Solution

The fourth proportional to 32.46, 45 and 31.80 is: 44.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.46 : 45 = 31.80 : x
  2. Step 2: Convert to fraction form
    32.46/45 = 31.80/x
  3. Step 3: Cross multiply
    32.46x = 45 × 31.80
  4. Step 4: Simplify right side
    32.46x = 1,431
  5. Step 5: Solve for x
    x = 1,431/32.46
  6. Step 6: Final answer
    x = 44.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.