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Finding the Fourth Proportional to 96.76, 133.48 and 64.00

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Solution

The fourth proportional to 96.76, 133.48 and 64.00 is: 88.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 133.48 = 64.00 : x
  2. Step 2: Convert to fraction form
    96.76/133.48 = 64.00/x
  3. Step 3: Cross multiply
    96.76x = 133.48 × 64.00
  4. Step 4: Simplify right side
    96.76x = 8,542.23
  5. Step 5: Solve for x
    x = 8,542.23/96.76
  6. Step 6: Final answer
    x = 88.28

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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.