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Finding the Fourth Proportional to 145.71, 201.17 and 95.97

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Solution

The fourth proportional to 145.71, 201.17 and 95.97 is: 132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.71 : 201.17 = 95.97 : x
  2. Step 2: Convert to fraction form
    145.71/201.17 = 95.97/x
  3. Step 3: Cross multiply
    145.71x = 201.17 × 95.97
  4. Step 4: Simplify right side
    145.71x = 19,306.28
  5. Step 5: Solve for x
    x = 19,306.28/145.71
  6. Step 6: Final answer
    x = 132.50

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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.