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Finding the Fourth Proportional to 51.02, 76.45 and 31.70

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Solution

The fourth proportional to 51.02, 76.45 and 31.70 is: 47.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.02 : 76.45 = 31.70 : x
  2. Step 2: Convert to fraction form
    51.02/76.45 = 31.70/x
  3. Step 3: Cross multiply
    51.02x = 76.45 × 31.70
  4. Step 4: Simplify right side
    51.02x = 2,423.58
  5. Step 5: Solve for x
    x = 2,423.58/51.02
  6. Step 6: Final answer
    x = 47.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.