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Finding the Fourth Proportional to 69.56, 96.00 and 38.47

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Solution

The fourth proportional to 69.56, 96.00 and 38.47 is: 53.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.56 : 96.00 = 38.47 : x
  2. Step 2: Convert to fraction form
    69.56/96.00 = 38.47/x
  3. Step 3: Cross multiply
    69.56x = 96.00 × 38.47
  4. Step 4: Simplify right side
    69.56x = 3,693.17
  5. Step 5: Solve for x
    x = 3,693.17/69.56
  6. Step 6: Final answer
    x = 53.10

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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.