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Finding the Fourth Proportional to 96.40, 133.02 and 52.72

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Solution

The fourth proportional to 96.40, 133.02 and 52.72 is: 72.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 133.02 = 52.72 : x
  2. Step 2: Convert to fraction form
    96.40/133.02 = 52.72/x
  3. Step 3: Cross multiply
    96.40x = 133.02 × 52.72
  4. Step 4: Simplify right side
    96.40x = 7,013.38
  5. Step 5: Solve for x
    x = 7,013.38/96.40
  6. Step 6: Final answer
    x = 72.76

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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.