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Finding the Fourth Proportional to 64.71, 96.54 and 64.25

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Solution

The fourth proportional to 64.71, 96.54 and 64.25 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 96.54 = 64.25 : x
  2. Step 2: Convert to fraction form
    64.71/96.54 = 64.25/x
  3. Step 3: Cross multiply
    64.71x = 96.54 × 64.25
  4. Step 4: Simplify right side
    64.71x = 6,202.70
  5. Step 5: Solve for x
    x = 6,202.70/64.71
  6. Step 6: Final answer
    x = 95.85

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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.