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Finding the Fourth Proportional to 74.32, 102.72 and 69.44

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Solution

The fourth proportional to 74.32, 102.72 and 69.44 is: 95.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.32 : 102.72 = 69.44 : x
  2. Step 2: Convert to fraction form
    74.32/102.72 = 69.44/x
  3. Step 3: Cross multiply
    74.32x = 102.72 × 69.44
  4. Step 4: Simplify right side
    74.32x = 7,132.88
  5. Step 5: Solve for x
    x = 7,132.88/74.32
  6. Step 6: Final answer
    x = 95.98

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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.