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Finding the Fourth Proportional to 73.78, 111.06 and 64.96

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Solution

The fourth proportional to 73.78, 111.06 and 64.96 is: 97.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 111.06 = 64.96 : x
  2. Step 2: Convert to fraction form
    73.78/111.06 = 64.96/x
  3. Step 3: Cross multiply
    73.78x = 111.06 × 64.96
  4. Step 4: Simplify right side
    73.78x = 7,214.13
  5. Step 5: Solve for x
    x = 7,214.13/73.78
  6. Step 6: Final answer
    x = 97.78

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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.