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Finding the Fourth Proportional to 65.99, 98.57 and 64.85

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Solution

The fourth proportional to 65.99, 98.57 and 64.85 is: 96.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.99 : 98.57 = 64.85 : x
  2. Step 2: Convert to fraction form
    65.99/98.57 = 64.85/x
  3. Step 3: Cross multiply
    65.99x = 98.57 × 64.85
  4. Step 4: Simplify right side
    65.99x = 6,392.26
  5. Step 5: Solve for x
    x = 6,392.26/65.99
  6. Step 6: Final answer
    x = 96.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.