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Finding the Fourth Proportional to 96.64, 133.36 and 55.17

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Solution

The fourth proportional to 96.64, 133.36 and 55.17 is: 76.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.64 : 133.36 = 55.17 : x
  2. Step 2: Convert to fraction form
    96.64/133.36 = 55.17/x
  3. Step 3: Cross multiply
    96.64x = 133.36 × 55.17
  4. Step 4: Simplify right side
    96.64x = 7,357.47
  5. Step 5: Solve for x
    x = 7,357.47/96.64
  6. Step 6: Final answer
    x = 76.14

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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.