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Finding the Fourth Proportional to 51.34, 77.01 and 29.66

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Solution

The fourth proportional to 51.34, 77.01 and 29.66 is: 44.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.34 : 77.01 = 29.66 : x
  2. Step 2: Convert to fraction form
    51.34/77.01 = 29.66/x
  3. Step 3: Cross multiply
    51.34x = 77.01 × 29.66
  4. Step 4: Simplify right side
    51.34x = 2,284.31
  5. Step 5: Solve for x
    x = 2,284.31/51.34
  6. Step 6: Final answer
    x = 44.50

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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.