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Finding the Fourth Proportional to 74.24, 110.84 and 66.16

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Solution

The fourth proportional to 74.24, 110.84 and 66.16 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 110.84 = 66.16 : x
  2. Step 2: Convert to fraction form
    74.24/110.84 = 66.16/x
  3. Step 3: Cross multiply
    74.24x = 110.84 × 66.16
  4. Step 4: Simplify right side
    74.24x = 7,333.17
  5. Step 5: Solve for x
    x = 7,333.17/74.24
  6. Step 6: Final answer
    x = 98.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.