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Finding the Fourth Proportional to 145.74, 200.96 and 96.52

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Solution

The fourth proportional to 145.74, 200.96 and 96.52 is: 133.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 200.96 = 96.52 : x
  2. Step 2: Convert to fraction form
    145.74/200.96 = 96.52/x
  3. Step 3: Cross multiply
    145.74x = 200.96 × 96.52
  4. Step 4: Simplify right side
    145.74x = 19,396.66
  5. Step 5: Solve for x
    x = 19,396.66/145.74
  6. Step 6: Final answer
    x = 133.09

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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.