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Finding the Fourth Proportional to 51.57, 71.06 and 45.69

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Solution

The fourth proportional to 51.57, 71.06 and 45.69 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 71.06 = 45.69 : x
  2. Step 2: Convert to fraction form
    51.57/71.06 = 45.69/x
  3. Step 3: Cross multiply
    51.57x = 71.06 × 45.69
  4. Step 4: Simplify right side
    51.57x = 3,246.50
  5. Step 5: Solve for x
    x = 3,246.50/51.57
  6. Step 6: Final answer
    x = 62.95

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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.