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Finding the Fourth Proportional to 74.51, 102.84 and 41.78

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Solution

The fourth proportional to 74.51, 102.84 and 41.78 is: 57.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.51 : 102.84 = 41.78 : x
  2. Step 2: Convert to fraction form
    74.51/102.84 = 41.78/x
  3. Step 3: Cross multiply
    74.51x = 102.84 × 41.78
  4. Step 4: Simplify right side
    74.51x = 4,296.14
  5. Step 5: Solve for x
    x = 4,296.14/74.51
  6. Step 6: Final answer
    x = 57.66

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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.