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Finding the Fourth Proportional to 145.88, 201.42 and 96.82

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Solution

The fourth proportional to 145.88, 201.42 and 96.82 is: 133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 201.42 = 96.82 : x
  2. Step 2: Convert to fraction form
    145.88/201.42 = 96.82/x
  3. Step 3: Cross multiply
    145.88x = 201.42 × 96.82
  4. Step 4: Simplify right side
    145.88x = 19,501.48
  5. Step 5: Solve for x
    x = 19,501.48/145.88
  6. Step 6: Final answer
    x = 133.68

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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.