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Finding the Fourth Proportional to 74.50, 102.49 and 71.54

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Solution

The fourth proportional to 74.50, 102.49 and 71.54 is: 98.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.50 : 102.49 = 71.54 : x
  2. Step 2: Convert to fraction form
    74.50/102.49 = 71.54/x
  3. Step 3: Cross multiply
    74.50x = 102.49 × 71.54
  4. Step 4: Simplify right side
    74.50x = 7,332.13
  5. Step 5: Solve for x
    x = 7,332.13/74.50
  6. Step 6: Final answer
    x = 98.42

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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.