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Finding the Fourth Proportional to 145.17, 201.39 and 137.88

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Solution

The fourth proportional to 145.17, 201.39 and 137.88 is: 191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.17 : 201.39 = 137.88 : x
  2. Step 2: Convert to fraction form
    145.17/201.39 = 137.88/x
  3. Step 3: Cross multiply
    145.17x = 201.39 × 137.88
  4. Step 4: Simplify right side
    145.17x = 27,767.65
  5. Step 5: Solve for x
    x = 27,767.65/145.17
  6. Step 6: Final answer
    x = 191.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.