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Finding the Fourth Proportional to 74.19, 102.42 and 57.78

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Solution

The fourth proportional to 74.19, 102.42 and 57.78 is: 79.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 102.42 = 57.78 : x
  2. Step 2: Convert to fraction form
    74.19/102.42 = 57.78/x
  3. Step 3: Cross multiply
    74.19x = 102.42 × 57.78
  4. Step 4: Simplify right side
    74.19x = 5,917.83
  5. Step 5: Solve for x
    x = 5,917.83/74.19
  6. Step 6: Final answer
    x = 79.77

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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.