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Finding the Fourth Proportional to 96.93, 133.74 and 75.06

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Solution

The fourth proportional to 96.93, 133.74 and 75.06 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.93 : 133.74 = 75.06 : x
  2. Step 2: Convert to fraction form
    96.93/133.74 = 75.06/x
  3. Step 3: Cross multiply
    96.93x = 133.74 × 75.06
  4. Step 4: Simplify right side
    96.93x = 10,038.52
  5. Step 5: Solve for x
    x = 10,038.52/96.93
  6. Step 6: Final answer
    x = 103.56

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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.