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Finding the Fourth Proportional to 73.44, 101.28 and 63.68

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Solution

The fourth proportional to 73.44, 101.28 and 63.68 is: 87.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.44 : 101.28 = 63.68 : x
  2. Step 2: Convert to fraction form
    73.44/101.28 = 63.68/x
  3. Step 3: Cross multiply
    73.44x = 101.28 × 63.68
  4. Step 4: Simplify right side
    73.44x = 6,449.51
  5. Step 5: Solve for x
    x = 6,449.51/73.44
  6. Step 6: Final answer
    x = 87.82

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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.