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Finding the Fourth Proportional to 51.12, 70.56 and 31.46

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Solution

The fourth proportional to 51.12, 70.56 and 31.46 is: 43.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.12 : 70.56 = 31.46 : x
  2. Step 2: Convert to fraction form
    51.12/70.56 = 31.46/x
  3. Step 3: Cross multiply
    51.12x = 70.56 × 31.46
  4. Step 4: Simplify right side
    51.12x = 2,219.46
  5. Step 5: Solve for x
    x = 2,219.46/51.12
  6. Step 6: Final answer
    x = 43.42

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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.