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Finding the Fourth Proportional to 51.76, 71.41 and 42.60

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Solution

The fourth proportional to 51.76, 71.41 and 42.60 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.76 : 71.41 = 42.60 : x
  2. Step 2: Convert to fraction form
    51.76/71.41 = 42.60/x
  3. Step 3: Cross multiply
    51.76x = 71.41 × 42.60
  4. Step 4: Simplify right side
    51.76x = 3,042.07
  5. Step 5: Solve for x
    x = 3,042.07/51.76
  6. Step 6: Final answer
    x = 58.77

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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.