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Finding the Fourth Proportional to 52.03, 77.71 and 44.82

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Solution

The fourth proportional to 52.03, 77.71 and 44.82 is: 66.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 77.71 = 44.82 : x
  2. Step 2: Convert to fraction form
    52.03/77.71 = 44.82/x
  3. Step 3: Cross multiply
    52.03x = 77.71 × 44.82
  4. Step 4: Simplify right side
    52.03x = 3,483.14
  5. Step 5: Solve for x
    x = 3,483.14/52.03
  6. Step 6: Final answer
    x = 66.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.