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Finding the Fourth Proportional to 51.33, 70.74 and 39.05

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Solution

The fourth proportional to 51.33, 70.74 and 39.05 is: 53.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.33 : 70.74 = 39.05 : x
  2. Step 2: Convert to fraction form
    51.33/70.74 = 39.05/x
  3. Step 3: Cross multiply
    51.33x = 70.74 × 39.05
  4. Step 4: Simplify right side
    51.33x = 2,762.40
  5. Step 5: Solve for x
    x = 2,762.40/51.33
  6. Step 6: Final answer
    x = 53.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.