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Finding the Fourth Proportional to 96.90, 145.35 and 35.97

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Solution

The fourth proportional to 96.90, 145.35 and 35.97 is: 53.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 145.35 = 35.97 : x
  2. Step 2: Convert to fraction form
    96.90/145.35 = 35.97/x
  3. Step 3: Cross multiply
    96.90x = 145.35 × 35.97
  4. Step 4: Simplify right side
    96.90x = 5,228.24
  5. Step 5: Solve for x
    x = 5,228.24/96.90
  6. Step 6: Final answer
    x = 53.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.