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Finding the Fourth Proportional to 65.12, 96.86 and 64.90

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Solution

The fourth proportional to 65.12, 96.86 and 64.90 is: 96.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 96.86 = 64.90 : x
  2. Step 2: Convert to fraction form
    65.12/96.86 = 64.90/x
  3. Step 3: Cross multiply
    65.12x = 96.86 × 64.90
  4. Step 4: Simplify right side
    65.12x = 6,286.21
  5. Step 5: Solve for x
    x = 6,286.21/65.12
  6. Step 6: Final answer
    x = 96.53

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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.