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Finding the Fourth Proportional to 74.03, 102.16 and 41.28

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Solution

The fourth proportional to 74.03, 102.16 and 41.28 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.03 : 102.16 = 41.28 : x
  2. Step 2: Convert to fraction form
    74.03/102.16 = 41.28/x
  3. Step 3: Cross multiply
    74.03x = 102.16 × 41.28
  4. Step 4: Simplify right side
    74.03x = 4,216.45
  5. Step 5: Solve for x
    x = 4,216.45/74.03
  6. Step 6: Final answer
    x = 56.96

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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.