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Finding the Fourth Proportional to 74.52, 102.06 and 71.46

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Solution

The fourth proportional to 74.52, 102.06 and 71.46 is: 97.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.52 : 102.06 = 71.46 : x
  2. Step 2: Convert to fraction form
    74.52/102.06 = 71.46/x
  3. Step 3: Cross multiply
    74.52x = 102.06 × 71.46
  4. Step 4: Simplify right side
    74.52x = 7,293.21
  5. Step 5: Solve for x
    x = 7,293.21/74.52
  6. Step 6: Final answer
    x = 97.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.