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Finding the Fourth Proportional to 51.90, 77.79 and 32.64

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Solution

The fourth proportional to 51.90, 77.79 and 32.64 is: 48.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 77.79 = 32.64 : x
  2. Step 2: Convert to fraction form
    51.90/77.79 = 32.64/x
  3. Step 3: Cross multiply
    51.90x = 77.79 × 32.64
  4. Step 4: Simplify right side
    51.90x = 2,539.07
  5. Step 5: Solve for x
    x = 2,539.07/51.90
  6. Step 6: Final answer
    x = 48.92

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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.