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Finding the Fourth Proportional to 145.26, 200.34 and 112.05

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Solution

The fourth proportional to 145.26, 200.34 and 112.05 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.26 : 200.34 = 112.05 : x
  2. Step 2: Convert to fraction form
    145.26/200.34 = 112.05/x
  3. Step 3: Cross multiply
    145.26x = 200.34 × 112.05
  4. Step 4: Simplify right side
    145.26x = 22,448.10
  5. Step 5: Solve for x
    x = 22,448.10/145.26
  6. Step 6: Final answer
    x = 154.54

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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.