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Finding the Fourth Proportional to 51.11, 70.17 and 48.14

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Solution

The fourth proportional to 51.11, 70.17 and 48.14 is: 66.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.11 : 70.17 = 48.14 : x
  2. Step 2: Convert to fraction form
    51.11/70.17 = 48.14/x
  3. Step 3: Cross multiply
    51.11x = 70.17 × 48.14
  4. Step 4: Simplify right side
    51.11x = 3,378.11
  5. Step 5: Solve for x
    x = 3,378.11/51.11
  6. Step 6: Final answer
    x = 66.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.