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Finding the Fourth Proportional to 96.95, 133.75 and 75.08

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Solution

The fourth proportional to 96.95, 133.75 and 75.08 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.95 : 133.75 = 75.08 : x
  2. Step 2: Convert to fraction form
    96.95/133.75 = 75.08/x
  3. Step 3: Cross multiply
    96.95x = 133.75 × 75.08
  4. Step 4: Simplify right side
    96.95x = 10,041.95
  5. Step 5: Solve for x
    x = 10,041.95/96.95
  6. Step 6: Final answer
    x = 103.58

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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.