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Finding the Fourth Proportional to 73.56, 101.75 and 63.84

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Solution

The fourth proportional to 73.56, 101.75 and 63.84 is: 88.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.56 : 101.75 = 63.84 : x
  2. Step 2: Convert to fraction form
    73.56/101.75 = 63.84/x
  3. Step 3: Cross multiply
    73.56x = 101.75 × 63.84
  4. Step 4: Simplify right side
    73.56x = 6,495.40
  5. Step 5: Solve for x
    x = 6,495.40/73.56
  6. Step 6: Final answer
    x = 88.30

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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.