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Finding the Fourth Proportional to 51.83, 77.64 and 31.48

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Solution

The fourth proportional to 51.83, 77.64 and 31.48 is: 47.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.83 : 77.64 = 31.48 : x
  2. Step 2: Convert to fraction form
    51.83/77.64 = 31.48/x
  3. Step 3: Cross multiply
    51.83x = 77.64 × 31.48
  4. Step 4: Simplify right side
    51.83x = 2,444.11
  5. Step 5: Solve for x
    x = 2,444.11/51.83
  6. Step 6: Final answer
    x = 47.16

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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.