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Finding the Fourth Proportional to 74.38, 102.57 and 55.96

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Solution

The fourth proportional to 74.38, 102.57 and 55.96 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.38 : 102.57 = 55.96 : x
  2. Step 2: Convert to fraction form
    74.38/102.57 = 55.96/x
  3. Step 3: Cross multiply
    74.38x = 102.57 × 55.96
  4. Step 4: Simplify right side
    74.38x = 5,739.82
  5. Step 5: Solve for x
    x = 5,739.82/74.38
  6. Step 6: Final answer
    x = 77.17

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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.