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Finding the Fourth Proportional to 74.37, 102.65 and 52.54

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Solution

The fourth proportional to 74.37, 102.65 and 52.54 is: 72.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.37 : 102.65 = 52.54 : x
  2. Step 2: Convert to fraction form
    74.37/102.65 = 52.54/x
  3. Step 3: Cross multiply
    74.37x = 102.65 × 52.54
  4. Step 4: Simplify right side
    74.37x = 5,392.97
  5. Step 5: Solve for x
    x = 5,392.97/74.37
  6. Step 6: Final answer
    x = 72.52

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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.