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Finding the Fourth Proportional to 51.60, 70.62 and 51.06

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Solution

The fourth proportional to 51.60, 70.62 and 51.06 is: 69.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.60 : 70.62 = 51.06 : x
  2. Step 2: Convert to fraction form
    51.60/70.62 = 51.06/x
  3. Step 3: Cross multiply
    51.60x = 70.62 × 51.06
  4. Step 4: Simplify right side
    51.60x = 3,605.86
  5. Step 5: Solve for x
    x = 3,605.86/51.60
  6. Step 6: Final answer
    x = 69.88

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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.