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Finding the Fourth Proportional to 69.76, 96.16 and 54.24

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Solution

The fourth proportional to 69.76, 96.16 and 54.24 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.76 : 96.16 = 54.24 : x
  2. Step 2: Convert to fraction form
    69.76/96.16 = 54.24/x
  3. Step 3: Cross multiply
    69.76x = 96.16 × 54.24
  4. Step 4: Simplify right side
    69.76x = 5,215.72
  5. Step 5: Solve for x
    x = 5,215.72/69.76
  6. Step 6: Final answer
    x = 74.77

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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.