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Finding the Fourth Proportional to 145.96, 201.10 and 114.97

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Solution

The fourth proportional to 145.96, 201.10 and 114.97 is: 158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 201.10 = 114.97 : x
  2. Step 2: Convert to fraction form
    145.96/201.10 = 114.97/x
  3. Step 3: Cross multiply
    145.96x = 201.10 × 114.97
  4. Step 4: Simplify right side
    145.96x = 23,120.47
  5. Step 5: Solve for x
    x = 23,120.47/145.96
  6. Step 6: Final answer
    x = 158.40

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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.