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Finding the Fourth Proportional to 74.24, 102.56 and 56.96

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Solution

The fourth proportional to 74.24, 102.56 and 56.96 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.24 : 102.56 = 56.96 : x
  2. Step 2: Convert to fraction form
    74.24/102.56 = 56.96/x
  3. Step 3: Cross multiply
    74.24x = 102.56 × 56.96
  4. Step 4: Simplify right side
    74.24x = 5,841.82
  5. Step 5: Solve for x
    x = 5,841.82/74.24
  6. Step 6: Final answer
    x = 78.69

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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.