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Finding the Fourth Proportional to 96.71, 133.38 and 64.00

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Solution

The fourth proportional to 96.71, 133.38 and 64.00 is: 88.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.71 : 133.38 = 64.00 : x
  2. Step 2: Convert to fraction form
    96.71/133.38 = 64.00/x
  3. Step 3: Cross multiply
    96.71x = 133.38 × 64.00
  4. Step 4: Simplify right side
    96.71x = 8,536.49
  5. Step 5: Solve for x
    x = 8,536.49/96.71
  6. Step 6: Final answer
    x = 88.27

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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.