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Finding the Fourth Proportional to 70.84, 106.81 and 64.84

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Solution

The fourth proportional to 70.84, 106.81 and 64.84 is: 97.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 106.81 = 64.84 : x
  2. Step 2: Convert to fraction form
    70.84/106.81 = 64.84/x
  3. Step 3: Cross multiply
    70.84x = 106.81 × 64.84
  4. Step 4: Simplify right side
    70.84x = 6,925.56
  5. Step 5: Solve for x
    x = 6,925.56/70.84
  6. Step 6: Final answer
    x = 97.76

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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.