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Finding the Fourth Proportional to 52.54, 72.80 and 49.50

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Solution

The fourth proportional to 52.54, 72.80 and 49.50 is: 68.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.54 : 72.80 = 49.50 : x
  2. Step 2: Convert to fraction form
    52.54/72.80 = 49.50/x
  3. Step 3: Cross multiply
    52.54x = 72.80 × 49.50
  4. Step 4: Simplify right side
    52.54x = 3,603.60
  5. Step 5: Solve for x
    x = 3,603.60/52.54
  6. Step 6: Final answer
    x = 68.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.