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Finding the Fourth Proportional to 145.71, 200.96 and 96.54

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Solution

The fourth proportional to 145.71, 200.96 and 96.54 is: 133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.71 : 200.96 = 96.54 : x
  2. Step 2: Convert to fraction form
    145.71/200.96 = 96.54/x
  3. Step 3: Cross multiply
    145.71x = 200.96 × 96.54
  4. Step 4: Simplify right side
    145.71x = 19,400.20
  5. Step 5: Solve for x
    x = 19,400.20/145.71
  6. Step 6: Final answer
    x = 133.14

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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.