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Finding the Fourth Proportional to 51.54, 71.11 and 32.13

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Solution

The fourth proportional to 51.54, 71.11 and 32.13 is: 44.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.54 : 71.11 = 32.13 : x
  2. Step 2: Convert to fraction form
    51.54/71.11 = 32.13/x
  3. Step 3: Cross multiply
    51.54x = 71.11 × 32.13
  4. Step 4: Simplify right side
    51.54x = 2,284.76
  5. Step 5: Solve for x
    x = 2,284.76/51.54
  6. Step 6: Final answer
    x = 44.33

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Why These Related Problems?

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