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Finding the Fourth Proportional to 73.76, 111.08 and 64.84

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Solution

The fourth proportional to 73.76, 111.08 and 64.84 is: 97.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.76 : 111.08 = 64.84 : x
  2. Step 2: Convert to fraction form
    73.76/111.08 = 64.84/x
  3. Step 3: Cross multiply
    73.76x = 111.08 × 64.84
  4. Step 4: Simplify right side
    73.76x = 7,202.43
  5. Step 5: Solve for x
    x = 7,202.43/73.76
  6. Step 6: Final answer
    x = 97.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.