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Finding the Fourth Proportional to 70.84, 97.76 and 39.77

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Solution

The fourth proportional to 70.84, 97.76 and 39.77 is: 54.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 97.76 = 39.77 : x
  2. Step 2: Convert to fraction form
    70.84/97.76 = 39.77/x
  3. Step 3: Cross multiply
    70.84x = 97.76 × 39.77
  4. Step 4: Simplify right side
    70.84x = 3,887.39
  5. Step 5: Solve for x
    x = 3,887.39/70.84
  6. Step 6: Final answer
    x = 54.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.