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Finding the Fourth Proportional to 70.77, 97.61 and 64.96

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Solution

The fourth proportional to 70.77, 97.61 and 64.96 is: 89.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 97.61 = 64.96 : x
  2. Step 2: Convert to fraction form
    70.77/97.61 = 64.96/x
  3. Step 3: Cross multiply
    70.77x = 97.61 × 64.96
  4. Step 4: Simplify right side
    70.77x = 6,340.85
  5. Step 5: Solve for x
    x = 6,340.85/70.77
  6. Step 6: Final answer
    x = 89.60

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Why These Related Problems?

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