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Finding the Fourth Proportional to 74.56, 102.86 and 53.84

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Solution

The fourth proportional to 74.56, 102.86 and 53.84 is: 74.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 102.86 = 53.84 : x
  2. Step 2: Convert to fraction form
    74.56/102.86 = 53.84/x
  3. Step 3: Cross multiply
    74.56x = 102.86 × 53.84
  4. Step 4: Simplify right side
    74.56x = 5,537.98
  5. Step 5: Solve for x
    x = 5,537.98/74.56
  6. Step 6: Final answer
    x = 74.28

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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.