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Finding the Fourth Proportional to 70.09, 96.77 and 57.84

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Solution

The fourth proportional to 70.09, 96.77 and 57.84 is: 79.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.09 : 96.77 = 57.84 : x
  2. Step 2: Convert to fraction form
    70.09/96.77 = 57.84/x
  3. Step 3: Cross multiply
    70.09x = 96.77 × 57.84
  4. Step 4: Simplify right side
    70.09x = 5,597.18
  5. Step 5: Solve for x
    x = 5,597.18/70.09
  6. Step 6: Final answer
    x = 79.86

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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.