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Finding the Fourth Proportional to 51.46, 70.92 and 42.22

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Solution

The fourth proportional to 51.46, 70.92 and 42.22 is: 58.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.46 : 70.92 = 42.22 : x
  2. Step 2: Convert to fraction form
    51.46/70.92 = 42.22/x
  3. Step 3: Cross multiply
    51.46x = 70.92 × 42.22
  4. Step 4: Simplify right side
    51.46x = 2,994.24
  5. Step 5: Solve for x
    x = 2,994.24/51.46
  6. Step 6: Final answer
    x = 58.19

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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.