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Finding the Fourth Proportional to 51.90, 71.61 and 39.60

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Solution

The fourth proportional to 51.90, 71.61 and 39.60 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 71.61 = 39.60 : x
  2. Step 2: Convert to fraction form
    51.90/71.61 = 39.60/x
  3. Step 3: Cross multiply
    51.90x = 71.61 × 39.60
  4. Step 4: Simplify right side
    51.90x = 2,835.76
  5. Step 5: Solve for x
    x = 2,835.76/51.90
  6. Step 6: Final answer
    x = 54.64

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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.