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Finding the Fourth Proportional to 70.77, 97.85 and 61.55

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Solution

The fourth proportional to 70.77, 97.85 and 61.55 is: 85.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 97.85 = 61.55 : x
  2. Step 2: Convert to fraction form
    70.77/97.85 = 61.55/x
  3. Step 3: Cross multiply
    70.77x = 97.85 × 61.55
  4. Step 4: Simplify right side
    70.77x = 6,022.13
  5. Step 5: Solve for x
    x = 6,022.13/70.77
  6. Step 6: Final answer
    x = 85.09

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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.