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Finding the Fourth Proportional to 96.99, 133.83 and 64.29

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Solution

The fourth proportional to 96.99, 133.83 and 64.29 is: 88.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.99 : 133.83 = 64.29 : x
  2. Step 2: Convert to fraction form
    96.99/133.83 = 64.29/x
  3. Step 3: Cross multiply
    96.99x = 133.83 × 64.29
  4. Step 4: Simplify right side
    96.99x = 8,603.93
  5. Step 5: Solve for x
    x = 8,603.93/96.99
  6. Step 6: Final answer
    x = 88.71

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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.